Finding the Third Proportional to 12,414 and 25,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,414 : 25,282.50 = 25,282.50 : x
2. Step 2: Convert to fraction form
   12,414/25,282.50 = 25,282.50/x
3. Step 3: Cross multiply
   12,414x = 25,282.50 × 25,282.50
4. Step 4: Simplify right side
   12,414x = 639,204,806.25
5. Step 5: Solve for x
   x = 639,204,806.25/12,414
6. Step 6: Final answer
   x = 51,490.64