The Satisfying Gospel, session 3
While session 2 focused on how Christ died for the sinner, session 3 focused on the fact that Christ died for God (Romans 1:4-7), for His name's sake. Again, keep in mind that I am posting based on my notes; listen to the sessions to fully benefit.

Salvation is for the glory of God (Romans 11:33-36; 1 Corinthians 15) .
Absolutely everything is for the glory of God.
Consequent behavior by the saved sinner is in Romans chapter 12 and following.
All is about divine glory (John 17:11).
In Romans 3:25b-31 we see how God is is satisfied and glorified.
The cross of Christ...
1. declares God's righteousness.
On what basis does God forgive?  See Exodus 34:6-7; Psalm 78:38; Micah 7:18; Acts 17:30 for the answer.
Romans 3:26 frames the issue; the death of Christ answers; the cross reaches back to cover sin once hidden and now revealed; God was vindicated at the cross; the justice of God was on display.
2. demonstrates His grace (Romans 3:26-28); Christ the Infinite Person therefore able in three hours to bear the wrath of God for the sins of all who will ever believe.
3. reveals God's consistency (Romans 3:29-30; Isaiah 54:5; Jeremiah 16:19; Ephesians 4); God is one and is God of all--Deuteronomy 6:4.
4. confirms God's law (Romans 3:31; Galatians 3); we cannot break God's law without activating God's wrath.