Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
prōdĭgentĭa, ae, f. [prodigo], extravagance, profusion, prodigality (Tacitean; cf.: luxuria, profusio): prodigentia opum, Tac. A. 6, 14; so (opp. avaritia) id. ib. 13, 1; 15, 37.