Finding the Third Proportional to 15,649 and 32,026

Step by Step Solution

1. Step 1: Write the proportion equation
   15,649 : 32,026 = 32,026 : x
2. Step 2: Convert to fraction form
   15,649/32,026 = 32,026/x
3. Step 3: Cross multiply
   15,649x = 32,026 × 32,026
4. Step 4: Simplify right side
   15,649x = 1,025,664,676
5. Step 5: Solve for x
   x = 1,025,664,676/15,649
6. Step 6: Final answer
   x = 65,541.87