Finding the Third Proportional to 52,132.50 and 83,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,132.50 : 83,938.50 = 83,938.50 : x
2. Step 2: Convert to fraction form
   52,132.50/83,938.50 = 83,938.50/x
3. Step 3: Cross multiply
   52,132.50x = 83,938.50 × 83,938.50
4. Step 4: Simplify right side
   52,132.50x = 7,045,671,782.25
5. Step 5: Solve for x
   x = 7,045,671,782.25/52,132.50
6. Step 6: Final answer
   x = 135,149.32