Finding the Third Proportional to 22,896 and 32,664

Step by Step Solution

1. Step 1: Write the proportion equation
   22,896 : 32,664 = 32,664 : x
2. Step 2: Convert to fraction form
   22,896/32,664 = 32,664/x
3. Step 3: Cross multiply
   22,896x = 32,664 × 32,664
4. Step 4: Simplify right side
   22,896x = 1,066,936,896
5. Step 5: Solve for x
   x = 1,066,936,896/22,896
6. Step 6: Final answer
   x = 46,599.27