Finding the Third Proportional to 8,096 and 10,664

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096 : 10,664 = 10,664 : x
2. Step 2: Convert to fraction form
   8,096/10,664 = 10,664/x
3. Step 3: Cross multiply
   8,096x = 10,664 × 10,664
4. Step 4: Simplify right side
   8,096x = 113,720,896
5. Step 5: Solve for x
   x = 113,720,896/8,096
6. Step 6: Final answer
   x = 14,046.55