Finding the Third Proportional to 9,002 and 13,422

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002 : 13,422 = 13,422 : x
2. Step 2: Convert to fraction form
   9,002/13,422 = 13,422/x
3. Step 3: Cross multiply
   9,002x = 13,422 × 13,422
4. Step 4: Simplify right side
   9,002x = 180,150,084
5. Step 5: Solve for x
   x = 180,150,084/9,002
6. Step 6: Final answer
   x = 20,012.23