Where does “extrāvagāt-” come from?

extrāvagāt- (Medieval Latin) comes from Latin vagari, from Latin vagus, from Proto-Italic wagos, from Proto-Indo-European Hwogos.

Ancestry of “extrāvagāt-”, step by step

StepLanguageWordMeaning
1Latinvagaripresent active infinitive of vagor; to wander,...
2Latinvaguswandering, rambling, strolling; uncertain, vague
3Proto-Italicwagos
4Proto-Indo-EuropeanHwogos
Every word from Proto-Indo-European HwogosEvery word from Proto-Italic wagosEvery word from Latin vagus