1. **State the problem:** We are given that the product of two numbers is 814.2 and the smallest number is 23.6. We need to find the sum of these two numbers. 2. **Identify the known values:** - Product of two numbers: $814.2$ - Smallest number: $23.6$ 3. **Use the formula for product:** If the two numbers are $x$ and $y$, then $$xy = 814.2$$ Given $x = 23.6$, substitute into the equation: $$23.6 \times y = 814.2$$ 4. **Solve for the other number $y$:** $$y = \frac{814.2}{23.6}$$ Calculate: $$y = 34.5$$ 5. **Find the sum of the two numbers:** $$x + y = 23.6 + 34.5 = 58.1$$ 6. **Answer:** The sum of the two numbers is $58.1$.