Introduction
In each Hellenic, Indo-Iranian, and Italic the word for "thousand" is derived from Proto-Indo-European *ǵʰéslo-—apparently "handful"?—but in different forms.
Greek χίλιοι khílioi (kilo-) seems to derive from *ǵʰesliyoy, possibly a plural adjective form?
In Indo-Iranian it's prefixed with *sem- as *sm̥-ǵʰéslom, which could be translated as "one handful", but I think perhaps better rendered here as "a whole handful". This becomes forms like Sanskrit sahásram and Persian hazāra.
Italic also uses the *sm̥-, but makes the whole thing feminine-collective as *smih₂-ǵʰéslih₂, whence Latin mille (milli-).
Teaser
surgery,
garter,
milli-,
kilo-,
millennial,
chrono-,
yard,
Midgard
Full Text
-    Proto-Indo-European *ǵʰes- hand, take  -    Proto-Indo-European *ǵʰésōr hand primary noun, gen. and abl. *ǵʰsrés  -    Anatolian *ǵésōr  -  Hittite 𒆠𒌍𒊬 késːar ke-eš-šar hand 
-    Luwic  -    Luwian  -  Cuneiform Luwian 𒄿𒅖𒊭𒊑𒅖 īssaris i-iš-ša-ri-iš hand 
 
 
-  Lycian 𐊆𐊈𐊕𐊁𐊅𐊆 izredi by hand 
 
 
 
 
-    Old Armenian ձեռն jeṙn hand, first, arm, strength, force  -  Armenian ձեռք jeṙkʻ hand, arm 
-  Old Armenian *jeṙnuk diminutive 
-  Arabic زرنوك zarnūk handle 
 
 
-    Hellenic *kʰéhər  -    Classical Greek χείρ kheír hand  -  Translingual Chiroptera taxonomic order of bats 
-    Koine Greek χέριον khérion diminutive  -  Greek χέρι chéri hand, arm, handle 
 
 
-    Classical Greek ἑκατόγχειρος hekatónkheiros hundred-handed  -    Classical Greek ἑκατὸν μὲν χεῖρες hekatòn mèn kheîres 
 
 
 
-    Classical Greek χειρουργός kheirourgós craftsman, surgeon "hand-worker"  -  Latin chīrūrgus surgeon 
-    Classical Greek χειρουργία kheirourgíā handiwork, handicraft, surgery  -    Latin chīrūrgia surgery  -    Western Romance 
 
-    Latin *chīrurgiānus  -    Western Romance  -    Old French surgien 
 
-    Old French cirurgiien  -  French chirurgien 
-  Dutch chirurgijn 
-  English chirurgeon 
 
 
 
 
 
 
 
 
 
 
 
 
-  English chiro- 
 
 
-    Hellenic *kʰéhr-nikʷs hand-wash  -  Mycenaean Greek 𐀐𐀛𐀣 ke-ni-qa 
-    Classical Greek χέρνιψ khérnips water for handwashing  -    Classical Greek χέρνιβον khérnibon wash basin  -  Arabic كرنيب kirnīb wash basin, bath, dipper 
 
 
 
 
 
 
 
 
-    Italic *hezor 
 
-    Tocharian *ṣar hand  -  Arshian tsar hand 
-  Kushean ṣar hand 
 
 
-    Proto-Indo-European *ǵʰēsreh₂ 
 
-    Proto-Indo-European *ǵʰr̥sós  -    Celtic *garros leg, calf  -    Brythonic *garr  -  Breton gar leg 
-  Cornish garr leg 
-  Welsh gar leg 
 
 
-  Old Irish gairr calf 
-    Gaulish *garrā  -    Western Romance *garra leg, calf  -    Old French gare  -    Old French garet diminutive  -    Middle French jarret  -  French jarret back of the knee, leg joint of meat 
 
 
-    Old French gareter garter  -    Middle French jarretier garter 
 
-    Middle English garter garter 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
-    Proto-Indo-European *ǵʰéslom numerous, thousand, handful?  -    Proto-Indo-European *sm̥-ǵʰéslom  -    Indo-Iranian *saȷ́ʰásram thousand  -    Indo-Aryan *saźʰásram thousand  -    Sanskrit सहस्रम् sahásram thousand  -    Prakrit sahasra śahaśśa sahasira sahassa  -    Prakrit sāsira  -  Kannada ಸಾವಿರ sāvira thousand 
-    Old Tamil  -  Tamil ஆயிரம் āyiram thousand 
-  Malayalam ആയിരം āyiraṁ thousand 
 
 
 
 
-    Elu *sahasa  -  Dhivehi ހާސް hās thousand 
 
 
-    Sauraseni  -    Northwestern Sauraseni  -  Kashmiri ساس sās thousand 
 
 
 
 
 
 
-  Hindi सहस्र sahasra thousand 
-  Telugu సహస్రము sahasramu thousand 
 
 
 
 
-    Iranian *hajáhram thousand  -  Avestan 𐬵𐬀𐬰𐬀𐬢𐬭𐬀 hazaŋra thousand 
-  Bactrian υαζαρο uazaro thousand 
-  Pashto زر zër thousand 
-    Western Iranian *hazáram  -    Western Iranian *hazára-pátiš thousand-commander  -    Northwestern Iranian  -    Medean *hazārapatiš commander of a thousand   -    Old Persian *hazārapatiš  -    Middle Persian 𐭧𐭦𐭠𐭫𐭥𐭯𐭲 ḥzārāpt 
 
-  Classical Greek ἀζαραπατεῖς azarapateîs 
-  Classical Greek ἀζαβαρίτης azabarítēs 
-    Classical Greek χιλίαρχος khilíarkhos commander of a thousand, tribune, chiliarch   -  Gothic 𐌸𐌿𐍃𐌿𐌽𐌳𐌹𐍆𐌰𐌸𐍃 þūsundifaþs commander of a thousand, tribune  
-  Latin chiliarchus 
-  Classical Syriac ܟܝܠܝܪܟܐ kilirka 
 
 
 
 
 
 
-    Parthian 𐭇𐭆𐭓𐭅𐭐𐭕 hazārpet  -    Old Armenian հազարապետ hazarapet chiliarch  -  Armenian հազարապետ hazarapet chiliarch 
-  Georgian ჰაზარაპეტი hazaraṗeṭi 
 
 
 
 
 
 
 
 
-    Northwestern Iranian  -  Medean *hazāram 
-  Kurdish hezar thousand 
-    Parthian 𐭀𐭋𐭐𐭉𐭍 𐭇𐭆𐭀𐭓 hzār ālpin thousand ālpin as an Aramaeogram  -    Middle Persian 𐫍𐫉𐫀𐫡 hzār thousand  -    Persian هزار hazâr thousand  -  Persian هزاردستان hezâr-dastân nightingale lit. "thousand songs" 
-    Hindustani  -  Hindi हज़ार hazār thousand 
-  Urdu ہزار hazār thousand 
 
 
 
 
 
 
 
 
 
 
-    Old Persian *hadāram thousand 
 
 
 
 
 
 
 
-    Proto-Indo-European *smih₂-ǵʰéslih₂  -    Italic *smīɣeslī  -    Latin mille thousand  -    Latin mīllennis thousand-years  -    Latin mīllennium millennium  -    English millennium  -  Japanese ミレニアム mireniamu millennium 
-  English millennial 
 
 
-  Italian millennio millennium 
-  Spanish milenio millennium 
 
 
 
 
-    Latin mīlle mīlle passūs a thousand paces, a mile  -    Central Romance 
 
-    Western Romance 
 
-    Byzantine Greek μίλιον mílion Roman mile 
 
-    West Germanic *mīliju a mile  -    Old English mīl mile 
 
-    Frankish *mīla 
 
-    Old High German mīla mile  -    Middle High German mīle  -  German Meile mile 
-  Yiddish מײַל mayl mile 
-  Polish mila mile 
 
 
 
 
 
 
 
 
-    Central Romance  -  Dalmatian mel thousand 
-    Italian mille thousand  -    Italian milione million augmentive  -    Middle French million million  -  French million million 
-  English million 
-    Middle French -illion back-formed  -    Middle French billion billion (long-scale, 10^12)  -  French billion billion (long-scale, 10^12) 
-  English billion 
 
 
-    Middle French trillion billion (long-scale, 10^18)  -  French trillion trillion (long-scale, 10^18) 
-  English trillion 
 
 
 
 
 
 
 
 
 
 
 
 
-    Eastern Romance  -  Aromanian njilje thousand 
-  Romanian mie thousand 
-  Albanian mijë thousand 
 
 
-    Western Romance  -    Old French mile thousand  -    Middle French mille thousand 
 
 
 
-    Spanish mil thousand 
 
 
 
-  Basque mila thousand 
-    Brythonic *mil thousand  -  Breton mil thousand 
-  Cornish mil thousand 
-  Welsh mil thousand 
 
 
-    Old Irish míle thousand  -    Middle Irish  -  Irish míle thousand 
-  Scottish Gaelic mìle thousand 
 
 
 
 
-    French milli- 
 
 
 
 
 
 
 
 
 
-    Proto-Indo-European *ǵʰesliyoy plural adjective form?  -    Hellenic *kʰehliyoi  -    Classical Greek χίλιοι khílioi  -    Classical Greek χιλίαρχος khilíarkhos commander of a thousand, tribune, chiliarch   -  Gothic 𐌸𐌿𐍃𐌿𐌽𐌳𐌹𐍆𐌰𐌸𐍃 þūsundifaþs commander of a thousand, tribune  
-  Latin chiliarchus 
-  Classical Syriac ܟܝܠܝܪܟܐ kilirka 
 
 
-    French kilo- 
 
 
 
 
 
 
 
 
 
-    Proto-Indo-European *ǵʰóstos  -    Indo-Iranian *ȷ́ʰástas  -    Indo-Aryan *źʰástas  -    Sanskrit हस्तः hástaḥ 𑀳𑀲𑁆𑀢𑀂 hand, elephant trunk, cubit  -    Elu  -  Dhivehi އަތް at̊ hand, palm, side, direction 
-  Sinhala අත ata hand, side, direction 
 
 
-    Pali 𑀳𑀢𑁆𑀣 hattha hand  -  Khmer ហត្ថ hat hand, arm, elephant trunk, lock of hair, cubit 
 
 
-    Sauraseni  -    Hindustani  -  Hindi हाथ hāth hand 
-  Urdu ہَاتھ hāth hand 
 
 
-    Northwestern Sauraseni  -  Punjabi ਹੱਥ hatthă hand, forearm, cubit 
-  Kashmiri اَتھٕ athụ hand 
 
 
-    Western Sauraseni  -  Gujarati હાથ hāth hand 
-  Romani vast hand 
 
 
 
 
-  Malay hasta cubit 
-  Malayalam ഹസ്തം hastaṁ hand 
-  Telugu హస్తము hastamu hand, forearm, elephant trunk, cubit 
-    Sanskrit हस्ती hastī́ 𑀳𑀲𑁆𑀢𑀻 elephant  -    Sanskrit hastināpuraḥ हस्तिनापुरः place name: City of Elephants, Hastinapura  -    Hindustani  -  Hindi हस्तिनापुर hastināpur 
-  English Hastinapur 
 
 
 
 
-    Prakrit 𑀳𑀢𑁆𑀣𑀺 hatthi  -    Elu  -  Dhivehi އެތް et̊ elephant, palm flower 
-  Sinhala ඇත් æt 
 
 
-    Magadhi  -    Bengali-Assamese  -  Assamese হাতী hati elephant 
-  Bengali হাতি hati elephant, bishop (chess) 
 
 
-  Sylheti ꠀꠔ꠆ꠔꠤ atti 
-  Rohingya háñti 
 
 
-    Sauraseni  -    Hindustani  -  Hindi हाथी hāthī elephant, rook (chess) 
-  Urdu ہاتھی hāthī elephant 
-  English hathi 
 
 
-    Northwestern Sauraseni  -  Punjabi ਹਾਥੀ hāthī elephant, rook (chess) 
 
 
 
 
 
 
 
 
 
 
 
 
-    Iranian *jástah 
 
-    Indo-Iranian *dʰástas probably dissimilation, or by association with *dáwš: "arm"  -    Iranian *dástah  -  Bactrian λιστο listo hand 
-  Pashto لاس lâs hand 
-    Western Iranian  -    Northwestern Iranian 
 
-    Old Persian 𐎭𐎿𐎫 d-s-t hand  -    Middle Persian 𐭩𐭣𐭤 YDE hand Aramaeogram  -    Persian دست dast hand, arm Aramaeogram  -    Hindustani  -  Hindi दस्त dast hand, cubit 
-  Urdu دست dast hand, cubit 
 
 
 
 
 
 
 
 
 
 
 
 
-    Nuristani *dásta hand  -  Ashkun dóst 
-  Kamviri dǘšt hand 
 
 
 
 
 
 
-    Italic *hostos  -  Latin hostus yield of an olive tree 
 
 
-    Proto-Indo-European *ǵʰostiyos  -    Balto-Slavic *źastijas arm?  -    Balto-Slavic *pa-źastijas under arm? with *pa-: "under"  -    East Baltic  -  Lithuanian pažastìs armpit 
 
 
-    Slavic  -    West Slavic  -    Czech paže arm  -  Czech podpaží armpit re-preffixed with pod- : "under", probably cognate to the previous *pa- prefix 
 
 
 
 
 
 
 
 
 
 
-    Italic  -    Latin hostia sacrifice, offering, victim, host (consecrated bread) 
 
 
 
 
 
 
 
-    Proto-Indo-European *ǵʰer- to enclose horticulture, court  -    Proto-Indo-European *ǵʰronos  -    Hellenic *kʰrónos  -    Classical Greek χρόνος khrónos time, a period of time, a lifetime, a delay  -  Greek χρόνος chrónos time, year, tense 
-  Coptic ⲭⲣⲟⲛⲟⲥ khronos time, a period of time, a lifetime, age, duration 
-  English chrono- 
-    Classical Greek Χρόνος Khrónos personification of time 
 
 
 
 
 
 
 
-    Proto-Indo-European *gʰerdʰ- to enclose, to encircle, enclosure, belt  -    Proto-Indo-European *gʰerdʰeti  -    Germanic *gerdaną  -    East Germanic  -    Gothic *gairdan  -  Gothic 𐌱𐌹𐌲𐌰𐌹𐍂𐌳𐌰𐌽 bigairdan to gird 
-  Gothic 𐌿𐍆𐌲𐌰𐌹𐍂𐌳𐌰𐌽 ufgairdan to gird 
 
 
 
 
 
 
 
 
-    Proto-Indo-European *gʰr̥dʰyeti  -    Germanic *gurdijaną  -    North Germanic  -  Old Norse gyrða to gird, to girth 
 
 
-    West Germanic *gurdijan  -    Old English gyrdan to gird 
 
 
 
-    Germanic *gurdilaz girdle  -    North Germanic 
 
-    West Germanic *gurdil  -    Old English gyrdel 
 
-    Frankish *gurdel 
 
-    Old High German gurtil girtle, girth, band  -  German Gürtel belt, strip 
-  Yiddish גאַרטל gartl belt 
 
 
 
 
 
 
 
 
 
 
-    Proto-Indo-European *gʰórdʰos  -    Germanic *gardaz enclosure, court, yard, garden  -    Germanic *midjagardaz the middle enclosure, the world, Midgard  -    East Germanic  -  Gothic 𐌼𐌹𐌳𐌾𐌿𐌽𐌲𐌰𐍂𐌳𐍃 midjungards the inhabited world, ecumene 
 
 
-    North Germanic  -    Old Norse Miðgarðr the Earth, Midgard, the inhabited world  -  Danish Midgård 
-    Icelandic Miðgarður 
 
 
 
 
 
-    West Germanic  -    Old English Middanġeard the world, the inhabited world  -    Old English Middaneard the world, the inhabited world 
 
 
 
 
 
 
 
-    Germanic *urtgardaz garden, orchard  -    East Germanic  -  Gothic 𐌰𐌿𐍂𐍄𐌹𐌲𐌰𐍂𐌳𐍃 aurtigards orchard, garden 
-  Old Church Slavonic врътоградъ vrŭtogradŭ herb garden, kitchen garden 
 
 
-    North Germanic  -    Old Norse *urtgarðr  -  Swedish örtagård herb garden 
 
 
 
 
-    West Germanic *ortgard 
 
 
 
-    East Germanic  -    Gothic 𐌲𐌰𐍂𐌳𐍃 gards yard, court, house, household, family  -  Gothic 𐌸𐌹𐌿𐌳𐌰𐌽𐌲𐌰𐍂𐌳𐌹 þiudangardi kingdom lit. "~household of a people" 
 
 
 
 
-    North Germanic  -    Old Norse garðr  -    Danish gård  -  Danish Kierkegaard surname: Church-Yard pre-1948 orthography retained in proper nouns 
 
 
-  Icelandic garður 
-  Middle Irish garrda 
-  Middle Welsh garð 
 
 
-    Samic *kārtē fenced enclosure, corral  -  Northern Sámi gárdi 
-  Old Norse Útgarðar 
 
 
 
 
-    West Germanic *gard  -    Old English ġeard 
 
-    Frankish *gard  -  Dutch gaard 
-  Old French gart garden 
 
 
-  Old High German gart enclosure, plot of land, circle 
 
 
-    Germanic *gardan- *gardô  -    West Germanic *gardō  -    Frankish *gardo  -  Dutch gaard 
-    Old French gardin garden  -    French jardin 
 
-  English garden 
-  Spanish jardín 
 
 
 
 
-    Old High German garto garden, paradise 
 
 
 
 
 
 
 
 
 
-    Proto-Indo-European *gʰordʰéh₂  -    Germanic *gerdō  -    East Germanic  -  Gothic 𐌲𐌰𐌹𐍂𐌳𐌰 gairda girdle, purse 
 
 
-    North Germanic  -    Old Norse gjǫrð belt, girdle, saddle girth  -  Danish gjord 
-  Icelandic gjörð 
-    Middle English gerth girth, barrel hoop 
 
 
 
-    Samic 
 
 
 
 
 
 
 
 
 
-  Proto-Indo-European *ǵʰer- intestines, bowels, gut (as a material) 
 
 
 
 
Visual

Collected English words
Middle Earth,
Midgard,
Chiroptera,
orchard,
milestone,
surgery,
surgeon,
chirurgeon,
chiro-,
garter,
million,
billion,
trillion,
mile,
millennium,
millennial,
milli-,
kilo-,
hathi,
Hastinapur,
host,
chrono-,
Chronos,
gird,
girdle,
yard,
garden,
girth,
Hecatoncheires
Footnotes