Finding the Third Proportional to 9,714 and 13,467

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714 : 13,467 = 13,467 : x
2. Step 2: Convert to fraction form
   9,714/13,467 = 13,467/x
3. Step 3: Cross multiply
   9,714x = 13,467 × 13,467
4. Step 4: Simplify right side
   9,714x = 181,360,089
5. Step 5: Solve for x
   x = 181,360,089/9,714
6. Step 6: Final answer
   x = 18,669.97