Finding the Third Proportional to 10,584 and 12,192

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 12,192 = 12,192 : x
2. Step 2: Convert to fraction form
   10,584/12,192 = 12,192/x
3. Step 3: Cross multiply
   10,584x = 12,192 × 12,192
4. Step 4: Simplify right side
   10,584x = 148,644,864
5. Step 5: Solve for x
   x = 148,644,864/10,584
6. Step 6: Final answer
   x = 14,044.30