Finding the Third Proportional to 8,002 and 16,166

Step by Step Solution

1. Step 1: Write the proportion equation
   8,002 : 16,166 = 16,166 : x
2. Step 2: Convert to fraction form
   8,002/16,166 = 16,166/x
3. Step 3: Cross multiply
   8,002x = 16,166 × 16,166
4. Step 4: Simplify right side
   8,002x = 261,339,556
5. Step 5: Solve for x
   x = 261,339,556/8,002
6. Step 6: Final answer
   x = 32,659.28