This is the 8334th most frequent Polish word.
pańskim
"Pańskim" means "your" or "lordly" (referring to something belonging to or associated with a lord or refined person), depending on context.
Here, 'pańskim' is the instrumental case of 'pański,' a formal possessive pronoun referring to 'your' when speaking to a male or female formally.
Czy to jest pańskim kapeluszem?
Is this your hat?
In this sentence, 'pańskim' is used in the instrumental case to modify 'przyjacielem' reflecting a formal possessive sense of 'your'.
Rozmawiałem z pańskim przyjacielem wczoraj.
I spoke with your friend yesterday.
The term 'pańskim' here modifies 'sąsiadem' and indicates a formal address towards the subject 'you,' aligning with the neighbor in the locative sense.