Finding the Third Proportional to 37,713.38 and 82,959.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,713.38 : 82,959.75 = 82,959.75 : x
2. Step 2: Convert to fraction form
   37,713.38/82,959.75 = 82,959.75/x
3. Step 3: Cross multiply
   37,713.38x = 82,959.75 × 82,959.75
4. Step 4: Simplify right side
   37,713.38x = 6,882,320,120.06
5. Step 5: Solve for x
   x = 6,882,320,120.06/37,713.38
6. Step 6: Final answer
   x = 182,490.17