Finding the Third Proportional to 9,584 and 12,855

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 12,855 = 12,855 : x
2. Step 2: Convert to fraction form
   9,584/12,855 = 12,855/x
3. Step 3: Cross multiply
   9,584x = 12,855 × 12,855
4. Step 4: Simplify right side
   9,584x = 165,251,025
5. Step 5: Solve for x
   x = 165,251,025/9,584
6. Step 6: Final answer
   x = 17,242.39