Finding the Third Proportional to 10,882 and 12,664

Step by Step Solution

1. Step 1: Write the proportion equation
   10,882 : 12,664 = 12,664 : x
2. Step 2: Convert to fraction form
   10,882/12,664 = 12,664/x
3. Step 3: Cross multiply
   10,882x = 12,664 × 12,664
4. Step 4: Simplify right side
   10,882x = 160,376,896
5. Step 5: Solve for x
   x = 160,376,896/10,882
6. Step 6: Final answer
   x = 14,737.81