Finding the Third Proportional to 9,714 and 13,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714 : 13,018.50 = 13,018.50 : x
2. Step 2: Convert to fraction form
   9,714/13,018.50 = 13,018.50/x
3. Step 3: Cross multiply
   9,714x = 13,018.50 × 13,018.50
4. Step 4: Simplify right side
   9,714x = 169,481,342.25
5. Step 5: Solve for x
   x = 169,481,342.25/9,714
6. Step 6: Final answer
   x = 17,447.12