Finding the Third Proportional to 65,711.25 and 102,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,711.25 : 102,946.50 = 102,946.50 : x
2. Step 2: Convert to fraction form
   65,711.25/102,946.50 = 102,946.50/x
3. Step 3: Cross multiply
   65,711.25x = 102,946.50 × 102,946.50
4. Step 4: Simplify right side
   65,711.25x = 10,597,981,862.25
5. Step 5: Solve for x
   x = 10,597,981,862.25/65,711.25
6. Step 6: Final answer
   x = 161,281.09