Finding the Third Proportional to 57,057.50 and 83,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,057.50 : 83,472.50 = 83,472.50 : x
2. Step 2: Convert to fraction form
   57,057.50/83,472.50 = 83,472.50/x
3. Step 3: Cross multiply
   57,057.50x = 83,472.50 × 83,472.50
4. Step 4: Simplify right side
   57,057.50x = 6,967,658,256.25
5. Step 5: Solve for x
   x = 6,967,658,256.25/57,057.50
6. Step 6: Final answer
   x = 122,116.43