Finding the Third Proportional to 22,746 and 32,655

Step by Step Solution

1. Step 1: Write the proportion equation
   22,746 : 32,655 = 32,655 : x
2. Step 2: Convert to fraction form
   22,746/32,655 = 32,655/x
3. Step 3: Cross multiply
   22,746x = 32,655 × 32,655
4. Step 4: Simplify right side
   22,746x = 1,066,349,025
5. Step 5: Solve for x
   x = 1,066,349,025/22,746
6. Step 6: Final answer
   x = 46,880.73