Finding the Third Proportional to 12,138 and 25,374

Step by Step Solution

1. Step 1: Write the proportion equation
   12,138 : 25,374 = 25,374 : x
2. Step 2: Convert to fraction form
   12,138/25,374 = 25,374/x
3. Step 3: Cross multiply
   12,138x = 25,374 × 25,374
4. Step 4: Simplify right side
   12,138x = 643,839,876
5. Step 5: Solve for x
   x = 643,839,876/12,138
6. Step 6: Final answer
   x = 53,043.32