Finding the Third Proportional to 12,192 and 12,576

Step by Step Solution

1. Step 1: Write the proportion equation
   12,192 : 12,576 = 12,576 : x
2. Step 2: Convert to fraction form
   12,192/12,576 = 12,576/x
3. Step 3: Cross multiply
   12,192x = 12,576 × 12,576
4. Step 4: Simplify right side
   12,192x = 158,155,776
5. Step 5: Solve for x
   x = 158,155,776/12,192
6. Step 6: Final answer
   x = 12,972.09