Finding the Third Proportional to 22,320 and 32,642

Step by Step Solution

1. Step 1: Write the proportion equation
   22,320 : 32,642 = 32,642 : x
2. Step 2: Convert to fraction form
   22,320/32,642 = 32,642/x
3. Step 3: Cross multiply
   22,320x = 32,642 × 32,642
4. Step 4: Simplify right side
   22,320x = 1,065,500,164
5. Step 5: Solve for x
   x = 1,065,500,164/22,320
6. Step 6: Final answer
   x = 47,737.46