Finding the Third Proportional to 12,154 and 25,624

Step by Step Solution

1. Step 1: Write the proportion equation
   12,154 : 25,624 = 25,624 : x
2. Step 2: Convert to fraction form
   12,154/25,624 = 25,624/x
3. Step 3: Cross multiply
   12,154x = 25,624 × 25,624
4. Step 4: Simplify right side
   12,154x = 656,589,376
5. Step 5: Solve for x
   x = 656,589,376/12,154
6. Step 6: Final answer
   x = 54,022.49