Methodological advice - obtaining panel data from census data: is it possible and how?

I'd like to ask members for methodological advice.

I have found data on the spending with government ads by the Argentine state of Santa Fé. That's the data of my intended dependent variable. They uploaded the spending from 2007 to 2018 disaggregated by municipality. That's great.

The problem is the socio-economic data available to work with. The state of Santa Fé released the census data of 2001 and 2010 with data also disaggregated by municipality. The problem is that there is no data for the years 2002 to 2009 and beyond 2010.

I need data for the years of 2011 and 2015.

In this case, what can be done? What would you suggest? Linear interpolation and extrapolation of data? Some alternative technique?

Thank you