A furnace with a fire brick wall $($k$=1\mathrm{.}47$ W$/$mK$)$ will be built on the inside. This was covered from the outside with a $22$ cm thick insulation brick $($k $=0\mathrm{.}156$ W$/$mK$)$ and then with a $15$ cm thick construction brick $($k $-0\mathrm{.}866$ W$/$mK$).$ The temperature of the inner wall of the furnace is $1100\backslash$deg C and the temperature of the outer wall is $65\backslash$deg C$.$ Calculate the thickness of the fire brick required to keep the temperature of the insulation brick below $925\backslash$deg C$.$ Find the temperature inside the construction brick.