Finding the Third Proportional to 12,414 and 25,188

Step by Step Solution

1. Step 1: Write the proportion equation
   12,414 : 25,188 = 25,188 : x
2. Step 2: Convert to fraction form
   12,414/25,188 = 25,188/x
3. Step 3: Cross multiply
   12,414x = 25,188 × 25,188
4. Step 4: Simplify right side
   12,414x = 634,435,344
5. Step 5: Solve for x
   x = 634,435,344/12,414
6. Step 6: Final answer
   x = 51,106.44