Finding the Third Proportional to 37,807.13 and 82,531.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,807.13 : 82,531.88 = 82,531.88 : x
2. Step 2: Convert to fraction form
   37,807.13/82,531.88 = 82,531.88/x
3. Step 3: Cross multiply
   37,807.13x = 82,531.88 × 82,531.88
4. Step 4: Simplify right side
   37,807.13x = 6,811,510,391.02
5. Step 5: Solve for x
   x = 6,811,510,391.02/37,807.13
6. Step 6: Final answer
   x = 180,164.73