Finding the Third Proportional to 22,742 and 32,649

Step by Step Solution

1. Step 1: Write the proportion equation
   22,742 : 32,649 = 32,649 : x
2. Step 2: Convert to fraction form
   22,742/32,649 = 32,649/x
3. Step 3: Cross multiply
   22,742x = 32,649 × 32,649
4. Step 4: Simplify right side
   22,742x = 1,065,957,201
5. Step 5: Solve for x
   x = 1,065,957,201/22,742
6. Step 6: Final answer
   x = 46,871.74