Finding the Third Proportional to 16,002 and 22,005

Step by Step Solution

1. Step 1: Write the proportion equation
   16,002 : 22,005 = 22,005 : x
2. Step 2: Convert to fraction form
   16,002/22,005 = 22,005/x
3. Step 3: Cross multiply
   16,002x = 22,005 × 22,005
4. Step 4: Simplify right side
   16,002x = 484,220,025
5. Step 5: Solve for x
   x = 484,220,025/16,002
6. Step 6: Final answer
   x = 30,259.97