Is there a word that strictly means "mutual understanding?"

Question

In an essay I've written, I come to realize something. Someone else understands that I've just realized this something.

The engendered sense of achievement and understanding . . .

In this context, "understanding" can refer to both my understanding of the concept in question, and the mutual understanding or connection, so to speak, between myself and someone else.

How can I disambiguate this sentence? I'm trying to refer to the mutual understanding or connection between myself and someone else. I want to write "mutual understanding" in place of "understanding," but I used the phrase in this preceding sentence.

Answer 1

'tacit'--expressed or understood without being directly stated (Merriam-Webster.com). e.g.,'There was a tacit understanding that the marriage was doomed';'they had a tacit agreement that nothing would be done about it without direct orders.'

Answer 2

I think correspondence can suggest the concept you referring to:

• The act, fact, or state of agreeing or conforming.

Source: www.thefreedictionary.com

Answer 3

This question happened to pop up among the allegedly "similar" ones, while I was writing one of my own...

I hope I'm not violating any rules by answering an eight year old query:

rapport

If two people or groups have a rapport, they have a good relationship in which they are able to understand each other's ideas or feelings very well.

The success depends on good rapport between interviewer and interviewee.

A bit surprised, actually, that this has not already been suggested here.