Finding the Third Proportional to 9,584 and 17,504

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 17,504 = 17,504 : x
2. Step 2: Convert to fraction form
   9,584/17,504 = 17,504/x
3. Step 3: Cross multiply
   9,584x = 17,504 × 17,504
4. Step 4: Simplify right side
   9,584x = 306,390,016
5. Step 5: Solve for x
   x = 306,390,016/9,584
6. Step 6: Final answer
   x = 31,968.91