Finding the Third Proportional to 22,533 and 32,640

Step by Step Solution

1. Step 1: Write the proportion equation
   22,533 : 32,640 = 32,640 : x
2. Step 2: Convert to fraction form
   22,533/32,640 = 32,640/x
3. Step 3: Cross multiply
   22,533x = 32,640 × 32,640
4. Step 4: Simplify right side
   22,533x = 1,065,369,600
5. Step 5: Solve for x
   x = 1,065,369,600/22,533
6. Step 6: Final answer
   x = 47,280.42