Finding the Third Proportional to 9,714 and 13,170

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714 : 13,170 = 13,170 : x
2. Step 2: Convert to fraction form
   9,714/13,170 = 13,170/x
3. Step 3: Cross multiply
   9,714x = 13,170 × 13,170
4. Step 4: Simplify right side
   9,714x = 173,448,900
5. Step 5: Solve for x
   x = 173,448,900/9,714
6. Step 6: Final answer
   x = 17,855.56