Finding the Third Proportional to 32,766 and 77,023

Step by Step Solution

1. Step 1: Write the proportion equation
   32,766 : 77,023 = 77,023 : x
2. Step 2: Convert to fraction form
   32,766/77,023 = 77,023/x
3. Step 3: Cross multiply
   32,766x = 77,023 × 77,023
4. Step 4: Simplify right side
   32,766x = 5,932,542,529
5. Step 5: Solve for x
   x = 5,932,542,529/32,766
6. Step 6: Final answer
   x = 181,057.88