Finding the Third Proportional to 12,256 and 18,384

Step by Step Solution

1. Step 1: Write the proportion equation
   12,256 : 18,384 = 18,384 : x
2. Step 2: Convert to fraction form
   12,256/18,384 = 18,384/x
3. Step 3: Cross multiply
   12,256x = 18,384 × 18,384
4. Step 4: Simplify right side
   12,256x = 337,971,456
5. Step 5: Solve for x
   x = 337,971,456/12,256
6. Step 6: Final answer
   x = 27,576