I followed this same procedure with the beam across the deck, parallel to the house. This is a long span, 22 feet, so I used two boards, supporting the joint in the center.
In this picture you can see the two new posts.
And here you can see the first of two reinforcing sister beams across the deck.
When I got those super heavy duty brackets, I picked them up from the local Habitat for Humanity. I got them for five dollars each, the same bracket at the big box store was about fifty-five dollars. Jackpot! But as you can see, I should have gotten five not just four. This joint could use one but I only had this little sheet metal brace.
Now you can see the second half of the long beam installed.