Finding the Third Proportional to 8,096 and 10,762

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096 : 10,762 = 10,762 : x
2. Step 2: Convert to fraction form
   8,096/10,762 = 10,762/x
3. Step 3: Cross multiply
   8,096x = 10,762 × 10,762
4. Step 4: Simplify right side
   8,096x = 115,820,644
5. Step 5: Solve for x
   x = 115,820,644/8,096
6. Step 6: Final answer
   x = 14,305.91