According to the excerpt, the four events happened in the following order:
1. City authorities were given powers to place restrictions on playhouses.
2. The Theatre was built by Brayne and Burbage at Shoreditch.
3. The Curtain, a second theater in the area, was built.
4. Puritan preachers opposed both new theaters.
Therefore, the event that happened third was: c. The Curtain, a second theater in the area, was built.