Finding the Third Proportional to 51,689.25 and 82,932.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,689.25 : 82,932.75 = 82,932.75 : x
2. Step 2: Convert to fraction form
   51,689.25/82,932.75 = 82,932.75/x
3. Step 3: Cross multiply
   51,689.25x = 82,932.75 × 82,932.75
4. Step 4: Simplify right side
   51,689.25x = 6,877,841,022.56
5. Step 5: Solve for x
   x = 6,877,841,022.56/51,689.25
6. Step 6: Final answer
   x = 133,061.34