Finding the Third Proportional to 8,096 and 10,272

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096 : 10,272 = 10,272 : x
2. Step 2: Convert to fraction form
   8,096/10,272 = 10,272/x
3. Step 3: Cross multiply
   8,096x = 10,272 × 10,272
4. Step 4: Simplify right side
   8,096x = 105,513,984
5. Step 5: Solve for x
   x = 105,513,984/8,096
6. Step 6: Final answer
   x = 13,032.85