Finding the Third Proportional to 9,576 and 17,748

Step by Step Solution

1. Step 1: Write the proportion equation
   9,576 : 17,748 = 17,748 : x
2. Step 2: Convert to fraction form
   9,576/17,748 = 17,748/x
3. Step 3: Cross multiply
   9,576x = 17,748 × 17,748
4. Step 4: Simplify right side
   9,576x = 314,991,504
5. Step 5: Solve for x
   x = 314,991,504/9,576
6. Step 6: Final answer
   x = 32,893.85