Using airplay to stream music to your ps3 is not possible because airplay is a function that is only available on apple devices. If you want to stream music to your os3, you will need a media server on your mac. Most of the times I use vuse to stream my media to my ps3/4 or smart tv.
At the time of the PlayStation 3’s announcement at the Electronic Entertainment Expo (E3) this past May, some Mac users were thinking the Cell processor might at some point appear in a Mac model How to Watch Showbox on PS4, PS3 (Stream on Playstation Oct 24, 2019 How to Get Steam on the PS3 | Our Pastimes Sep 15, 2017 Play games on your Mac installed on another computer with
PlayStation 3 to run OS X? Oh, please! | Macworld
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How to Stream Web Content to Your PS3 « PlayStation 3
Jan 15, 2015 3 Methods to Stream Video to PS3 for Playing - Wondershare Jun 23, 2020 Stream Media from Your Mac to Your PlayStation 3