Finding the Third Proportional to 35,857 and 53,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,857 : 53,542.50 = 53,542.50 : x
2. Step 2: Convert to fraction form
   35,857/53,542.50 = 53,542.50/x
3. Step 3: Cross multiply
   35,857x = 53,542.50 × 53,542.50
4. Step 4: Simplify right side
   35,857x = 2,866,799,306.25
5. Step 5: Solve for x
   x = 2,866,799,306.25/35,857
6. Step 6: Final answer
   x = 79,950.90