Finding the Third Proportional to 12,098 and 25,510

Step by Step Solution

1. Step 1: Write the proportion equation
   12,098 : 25,510 = 25,510 : x
2. Step 2: Convert to fraction form
   12,098/25,510 = 25,510/x
3. Step 3: Cross multiply
   12,098x = 25,510 × 25,510
4. Step 4: Simplify right side
   12,098x = 650,760,100
5. Step 5: Solve for x
   x = 650,760,100/12,098
6. Step 6: Final answer
   x = 53,790.72