Finding the Third Proportional to 81,517.50 and 109,689.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,517.50 : 109,689.75 = 109,689.75 : x
2. Step 2: Convert to fraction form
   81,517.50/109,689.75 = 109,689.75/x
3. Step 3: Cross multiply
   81,517.50x = 109,689.75 × 109,689.75
4. Step 4: Simplify right side
   81,517.50x = 12,031,841,255.06
5. Step 5: Solve for x
   x = 12,031,841,255.06/81,517.50
6. Step 6: Final answer
   x = 147,598.26