Finding the Third Proportional to 9,584 and 17,944

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 17,944 = 17,944 : x
2. Step 2: Convert to fraction form
   9,584/17,944 = 17,944/x
3. Step 3: Cross multiply
   9,584x = 17,944 × 17,944
4. Step 4: Simplify right side
   9,584x = 321,987,136
5. Step 5: Solve for x
   x = 321,987,136/9,584
6. Step 6: Final answer
   x = 33,596.32