Finding the Third Proportional to 8,584 and 12,084

Step by Step Solution

1. Step 1: Write the proportion equation
   8,584 : 12,084 = 12,084 : x
2. Step 2: Convert to fraction form
   8,584/12,084 = 12,084/x
3. Step 3: Cross multiply
   8,584x = 12,084 × 12,084
4. Step 4: Simplify right side
   8,584x = 146,023,056
5. Step 5: Solve for x
   x = 146,023,056/8,584
6. Step 6: Final answer
   x = 17,011.07