trying to get an answer on a 72 hour visa

Hello
i am trying to get some answers on a 72 hour visa for Shanghai,i am a US citizen and my partner is a Filipino passport holder but she has a US green card for a 10 year stay.
What do we need to do to get the 72 hour transit visa.
we are flying from LA-Shanghai-Cebu.
And then on the way back we would like to spend a couple days in Shanghai then fry back to LAX
We will be flying China Eastern Business Class for the flight

Thank you
John