Choosing resistors for audio circuits

[Charlie]

Without doing the calculations, that looks close the correct answer. Your logic is correct. The circuit you are using is for a DC powered audio amp. I think we need a whole schematic, not just the audio design reference. You certainly can not power a linear amp of that configuration from AC without rectification and filtering, which changes the max voltage.
Are you really pushing 62.5 KHz? If so, that is NOT an audio circuit, not even if you are a dog!!! What the heck are you building?

Note also that the power rating is for sustained power over time, not just instantaneous power. But an instantaneous power at a more reasonable worst case 20 KHz, max amplification (against the rails) is likely going to give you an answer expressed in Watts.
Since a more realistic audio application will see bigger powers at lower frequencies, where the cap impedance is a lot higher, and hence more of the power is in the speaker, and the fact that max volume is never sustained more than a small portion of the total time or it would be clipping, should let you get away with smaller power rated resistors. Again, without building a spreadsheet and doing the analysis properly, if this is an audio circuit, I'd guess a 1 Watt resistor would not be unreasonable, and I might use a 2W if I had one handy.

If it was for production though, I'd build that spreadsheet.