Finding the Third Proportional to 10,406 and 13,170

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406 : 13,170 = 13,170 : x
2. Step 2: Convert to fraction form
   10,406/13,170 = 13,170/x
3. Step 3: Cross multiply
   10,406x = 13,170 × 13,170
4. Step 4: Simplify right side
   10,406x = 173,448,900
5. Step 5: Solve for x
   x = 173,448,900/10,406
6. Step 6: Final answer
   x = 16,668.16