Finding the Third Proportional to 9,576 and 14,496

Step by Step Solution

1. Step 1: Write the proportion equation
   9,576 : 14,496 = 14,496 : x
2. Step 2: Convert to fraction form
   9,576/14,496 = 14,496/x
3. Step 3: Cross multiply
   9,576x = 14,496 × 14,496
4. Step 4: Simplify right side
   9,576x = 210,134,016
5. Step 5: Solve for x
   x = 210,134,016/9,576
6. Step 6: Final answer
   x = 21,943.82