Collins Russian Dictionary 2nd Edition © HarperCollins Publishers 2000, 1997:
thriving [ˈθraɪvɪŋ] adj процвета́ющий
* is used to mark translations which have irregular inflections. The Russian-English side of the dictionary gives inflectional information.
thrive [θraɪv]
(pt thrived or throve)
(pp thrived)
vi (child, animal, business) процвета́ть (impf)
(plant) разраста́ться (разрасти́сь*perf)
to thrive on sth процвета́ть (impf) на чём-н
* is used to mark translations which have irregular inflections. The Russian-English side of the dictionary gives inflectional information.