Finding the Third Proportional to 35,107.50 and 52,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,107.50 : 52,510.50 = 52,510.50 : x
2. Step 2: Convert to fraction form
   35,107.50/52,510.50 = 52,510.50/x
3. Step 3: Cross multiply
   35,107.50x = 52,510.50 × 52,510.50
4. Step 4: Simplify right side
   35,107.50x = 2,757,352,610.25
5. Step 5: Solve for x
   x = 2,757,352,610.25/35,107.50
6. Step 6: Final answer
   x = 78,540.27