Finding the Third Proportional to 9,564 and 17,304

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564 : 17,304 = 17,304 : x
2. Step 2: Convert to fraction form
   9,564/17,304 = 17,304/x
3. Step 3: Cross multiply
   9,564x = 17,304 × 17,304
4. Step 4: Simplify right side
   9,564x = 299,428,416
5. Step 5: Solve for x
   x = 299,428,416/9,564
6. Step 6: Final answer
   x = 31,307.86