Finding the Third Proportional to 57,769 and 77,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,769 : 77,270.50 = 77,270.50 : x
2. Step 2: Convert to fraction form
   57,769/77,270.50 = 77,270.50/x
3. Step 3: Cross multiply
   57,769x = 77,270.50 × 77,270.50
4. Step 4: Simplify right side
   57,769x = 5,970,730,170.25
5. Step 5: Solve for x
   x = 5,970,730,170.25/57,769
6. Step 6: Final answer
   x = 103,355.26