Pinout for the pink jack (TRS) is:
Tip - Signal
Ring - 5V (Phantom Power)
Sleeve - Mass
Note
At least that is what two hours of research I invested at some point lead me to believe. This is NOT standardized at all.
Depending on who you ask, TRS for mics on computers could be either of the following:

Don’t try looking at the TRRS spec for smartphones, because that is a spec that does not exist either…
Like @Dutch_Master said, even Electret microphones need power.
Yes and no.
You need a capacitor to couple the AC-component (= signal) through and block DC. The internet has n+1 opinions on the capacitor values. I would go with something between 100nF and 1uF.
Couple behind the capacitor to ground via 10k Ohm resistor (maybe higher).
Supply somewhere between 2 and 9V of the cleanest DC you can find through a 2k Ohm resistor to the mic.
Crappy schematic:
“Audio” in this case means ready for mic-preamp, don’t expect anything close to line level.
Edit 2: Video on the subject.
