Finding the Third Proportional to 9,584 and 17,836

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 17,836 = 17,836 : x
2. Step 2: Convert to fraction form
   9,584/17,836 = 17,836/x
3. Step 3: Cross multiply
   9,584x = 17,836 × 17,836
4. Step 4: Simplify right side
   9,584x = 318,122,896
5. Step 5: Solve for x
   x = 318,122,896/9,584
6. Step 6: Final answer
   x = 33,193.12