I Am unable to finish the quest "The Lost Patrol". At the end of the mission, after going to the Recon Bunker Theta, then speaking to Palidin Brandis. I was then told to report to Palidin Danse. when I then go to Cambridge Police Station to talk to Danse he is in the Verti-Bird and unable to speak to him until after reporting in to Captain Kells at the Prydwen. Then after reporting into Kells you need to report into Elder Maxson before even able to speak with Palidin Danse. Once I have met with Maxson, Palidin Danse is now available to speak with but only to become your sponsor/follower. Now I am unable to speak with Danse to finish the quest "The Lost Patrol", but yet it still tells me to report to him. Any help would be greatly appreciated. Thanks!

I had this issue too - at that point, despite the quest pointing you to Paladin Danse, you'll actually have to turn in the quest to Lancer-Captain Kells. You might need to do Duty or Dishonor with him first, but I don't think so.

Either speak to Danse after making him a companion or speak to kells

You have to finish the fort strong quest. Once you do, he will stay there till you talk to whomever it is on the ship you have to talk to. When you go back to danse, he will allow you to complete that quest and can then be your companion again

I haven't done the quest this way; I either got it from Danse and left it undone until long after the appropriate point, so Danse told me to turn it in to Kells whenever I got it finished, or I didn't have the quest at all until after the BoS reinforcements showed up. That said, the quest becomes available from Kells after doing the mission at Fort Strong, so you may want to finish that, then see what happens. I don't know if Kells will take the mission, or if you have to talk to Danse; however, with the quest normally becoming available at that time, it would seem that the best way to get it turned in would be at that point.