Finding the Third Proportional to 8,098 and 12,506

Step by Step Solution

1. Step 1: Write the proportion equation
   8,098 : 12,506 = 12,506 : x
2. Step 2: Convert to fraction form
   8,098/12,506 = 12,506/x
3. Step 3: Cross multiply
   8,098x = 12,506 × 12,506
4. Step 4: Simplify right side
   8,098x = 156,400,036
5. Step 5: Solve for x
   x = 156,400,036/8,098
6. Step 6: Final answer
   x = 19,313.42