Finding the Third Proportional to 13,002 and 20,166

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002 : 20,166 = 20,166 : x
2. Step 2: Convert to fraction form
   13,002/20,166 = 20,166/x
3. Step 3: Cross multiply
   13,002x = 20,166 × 20,166
4. Step 4: Simplify right side
   13,002x = 406,667,556
5. Step 5: Solve for x
   x = 406,667,556/13,002
6. Step 6: Final answer
   x = 31,277.31