Filling missing values

[mahjid]

Hello everyone
I have a time series data of daily precipitation. some of the data is missing. I want to reconstruct the missing value by calculate the mean of precipitation in before and after that specific date. So my question is how I can write an equation that calculate the mean of all the value of the specific day in different years except missing one.
Any help would be appreciated.
Thank you in advance

[RobertMika]

=AVERAGEIFS($C$2:$C$10000,$D$2:$D$10000,">0",$A$2:$A$10000,A2,$B$2:$B$10000,C2) drag down
If this does not work could you state the expected value for row 1189?

[mahjid]

Thank you very much dear RobertMika for your help, but unfortunately I didn't get the correct answer. I attached the file with the answer I get also the missing data I need to reconstruct them. Please have a look. The value for row 1189 is 11.6.

Thank you again and any help is highly appreciated.