Finding the Third Proportional to 12,408 and 19,422

Step by Step Solution

1. Step 1: Write the proportion equation
   12,408 : 19,422 = 19,422 : x
2. Step 2: Convert to fraction form
   12,408/19,422 = 19,422/x
3. Step 3: Cross multiply
   12,408x = 19,422 × 19,422
4. Step 4: Simplify right side
   12,408x = 377,214,084
5. Step 5: Solve for x
   x = 377,214,084/12,408
6. Step 6: Final answer
   x = 30,400.88