Finding the Third Proportional to 53,538.75 and 83,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,538.75 : 83,272.50 = 83,272.50 : x
2. Step 2: Convert to fraction form
   53,538.75/83,272.50 = 83,272.50/x
3. Step 3: Cross multiply
   53,538.75x = 83,272.50 × 83,272.50
4. Step 4: Simplify right side
   53,538.75x = 6,934,309,256.25
5. Step 5: Solve for x
   x = 6,934,309,256.25/53,538.75
6. Step 6: Final answer
   x = 129,519.45