Finding the Third Proportional to 57,766.50 and 77,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,766.50 : 77,267.50 = 77,267.50 : x
2. Step 2: Convert to fraction form
   57,766.50/77,267.50 = 77,267.50/x
3. Step 3: Cross multiply
   57,766.50x = 77,267.50 × 77,267.50
4. Step 4: Simplify right side
   57,766.50x = 5,970,266,556.25
5. Step 5: Solve for x
   x = 5,970,266,556.25/57,766.50
6. Step 6: Final answer
   x = 103,351.71