Explain how the actions of Nanasahib Panshe and Appasahib Gadre were instrumental in connecting Dixit with Madhavrao.

Nanasahib Panshe and Appasahib Gadre served as the crucial link that connected Dixit with his means of travel to Shirdi. As Chapter 51 narrates, they happened to be passing by on the pretext of an exhibition at the exact moment Madhavrao's carriage arrived in Nagar. Recognizing him as 'the priest of Shirdi,' their hearts 'overflowed with joy' because they knew he was the perfect person to help their friend. They immediately approached Madhavrao, told him about Dixit's eagerness to go to Shirdi, and then rushed to inform Dixit of Madhavrao's miraculous arrival, instantly vanishing his worries and setting the plan in motion.