Finding the Third Proportional to 32,766.50 and 77,026

Step by Step Solution

1. Step 1: Write the proportion equation
   32,766.50 : 77,026 = 77,026 : x
2. Step 2: Convert to fraction form
   32,766.50/77,026 = 77,026/x
3. Step 3: Cross multiply
   32,766.50x = 77,026 × 77,026
4. Step 4: Simplify right side
   32,766.50x = 5,933,004,676
5. Step 5: Solve for x
   x = 5,933,004,676/32,766.50
6. Step 6: Final answer
   x = 181,069.22