Finding the Third Proportional to 9,002 and 18,166

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002 : 18,166 = 18,166 : x
2. Step 2: Convert to fraction form
   9,002/18,166 = 18,166/x
3. Step 3: Cross multiply
   9,002x = 18,166 × 18,166
4. Step 4: Simplify right side
   9,002x = 330,003,556
5. Step 5: Solve for x
   x = 330,003,556/9,002
6. Step 6: Final answer
   x = 36,658.92