Extraordinary Differential Equations #11

Newton's Law of Cooling states that the rate at which a hot object cools down is directly proportional to the temperature difference between itself and its environment.

Suppose an object at $100.0^{\circ} \text{C}$ is left to cool down in an environment of a fixed lower ambient temperature. If the object's temperature is $80.0^{\circ} \text{C}$ after an hour, and $54.6^{\circ} \text{C}$ after another 2 hours, calculate the ambient temperature of the surrounding temperature in $^{\circ} \text{C}$ .

(This problem is part of the set Extraordinary Differential Equations .)