Finding the Third Proportional to 37,716 and 82,686

Step by Step Solution

1. Step 1: Write the proportion equation
   37,716 : 82,686 = 82,686 : x
2. Step 2: Convert to fraction form
   37,716/82,686 = 82,686/x
3. Step 3: Cross multiply
   37,716x = 82,686 × 82,686
4. Step 4: Simplify right side
   37,716x = 6,836,974,596
5. Step 5: Solve for x
   x = 6,836,974,596/37,716
6. Step 6: Final answer
   x = 181,275.18