Finding the Third Proportional to 12,288 and 16,484

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 16,484 = 16,484 : x
2. Step 2: Convert to fraction form
   12,288/16,484 = 16,484/x
3. Step 3: Cross multiply
   12,288x = 16,484 × 16,484
4. Step 4: Simplify right side
   12,288x = 271,722,256
5. Step 5: Solve for x
   x = 271,722,256/12,288
6. Step 6: Final answer
   x = 22,112.81