Finding the Third Proportional to 9,648 and 13,024

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648 : 13,024 = 13,024 : x
2. Step 2: Convert to fraction form
   9,648/13,024 = 13,024/x
3. Step 3: Cross multiply
   9,648x = 13,024 × 13,024
4. Step 4: Simplify right side
   9,648x = 169,624,576
5. Step 5: Solve for x
   x = 169,624,576/9,648
6. Step 6: Final answer
   x = 17,581.32