Finding the Third Proportional to 56,537.50 and 76,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,537.50 : 76,782.50 = 76,782.50 : x
2. Step 2: Convert to fraction form
   56,537.50/76,782.50 = 76,782.50/x
3. Step 3: Cross multiply
   56,537.50x = 76,782.50 × 76,782.50
4. Step 4: Simplify right side
   56,537.50x = 5,895,552,306.25
5. Step 5: Solve for x
   x = 5,895,552,306.25/56,537.50
6. Step 6: Final answer
   x = 104,276.85