The story
- Proto-Indo-European*per-der.?
- Proto-Indo-European*pér
- Proto-Indo-European*pró
- Proto-Indo-European*pro-
- Proto-Italic*pro-
- Latinprō-
- Proto-Indo-European*dewk-
- Proto-Indo-European*déwkti
- Proto-Italic*doukō
- Latindūcō
- Latinprōdūcō
- Latinprōductus
- Middle Englishproduct
- English todayproduct
From Middle English product, from Latin prōductus, perfect participle of prōdūcō, first attested in English in the mathematics sense.
Etymology from Wiktionary, CC BY-SA 4.0.