Finding the Third Proportional to 12,002 and 24,478

Step by Step Solution

1. Step 1: Write the proportion equation
   12,002 : 24,478 = 24,478 : x
2. Step 2: Convert to fraction form
   12,002/24,478 = 24,478/x
3. Step 3: Cross multiply
   12,002x = 24,478 × 24,478
4. Step 4: Simplify right side
   12,002x = 599,172,484
5. Step 5: Solve for x
   x = 599,172,484/12,002
6. Step 6: Final answer
   x = 49,922.72