Finding the Third Proportional to 8,096 and 12,499

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096 : 12,499 = 12,499 : x
2. Step 2: Convert to fraction form
   8,096/12,499 = 12,499/x
3. Step 3: Cross multiply
   8,096x = 12,499 × 12,499
4. Step 4: Simplify right side
   8,096x = 156,225,001
5. Step 5: Solve for x
   x = 156,225,001/8,096
6. Step 6: Final answer
   x = 19,296.57