Finding the Third Proportional to 54,472.50 and 82,523.25

Step by Step Solution

1. Step 1: Write the proportion equation
   54,472.50 : 82,523.25 = 82,523.25 : x
2. Step 2: Convert to fraction form
   54,472.50/82,523.25 = 82,523.25/x
3. Step 3: Cross multiply
   54,472.50x = 82,523.25 × 82,523.25
4. Step 4: Simplify right side
   54,472.50x = 6,810,086,790.56
5. Step 5: Solve for x
   x = 6,810,086,790.56/54,472.50
6. Step 6: Final answer
   x = 125,018.80