Finding the Third Proportional to 32,765.50 and 77,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,765.50 : 77,023.50 = 77,023.50 : x
2. Step 2: Convert to fraction form
   32,765.50/77,023.50 = 77,023.50/x
3. Step 3: Cross multiply
   32,765.50x = 77,023.50 × 77,023.50
4. Step 4: Simplify right side
   32,765.50x = 5,932,619,552.25
5. Step 5: Solve for x
   x = 5,932,619,552.25/32,765.50
6. Step 6: Final answer
   x = 181,062.99