Finding the Third Proportional to 22,446 and 32,689

Step by Step Solution

1. Step 1: Write the proportion equation
   22,446 : 32,689 = 32,689 : x
2. Step 2: Convert to fraction form
   22,446/32,689 = 32,689/x
3. Step 3: Cross multiply
   22,446x = 32,689 × 32,689
4. Step 4: Simplify right side
   22,446x = 1,068,570,721
5. Step 5: Solve for x
   x = 1,068,570,721/22,446
6. Step 6: Final answer
   x = 47,606.29