Finding the Third Proportional to 10,734 and 23,664

Step by Step Solution

1. Step 1: Write the proportion equation
   10,734 : 23,664 = 23,664 : x
2. Step 2: Convert to fraction form
   10,734/23,664 = 23,664/x
3. Step 3: Cross multiply
   10,734x = 23,664 × 23,664
4. Step 4: Simplify right side
   10,734x = 559,984,896
5. Step 5: Solve for x
   x = 559,984,896/10,734
6. Step 6: Final answer
   x = 52,169.27