Finding the Third Proportional to 11,484 and 20,256

Step by Step Solution

1. Step 1: Write the proportion equation
   11,484 : 20,256 = 20,256 : x
2. Step 2: Convert to fraction form
   11,484/20,256 = 20,256/x
3. Step 3: Cross multiply
   11,484x = 20,256 × 20,256
4. Step 4: Simplify right side
   11,484x = 410,305,536
5. Step 5: Solve for x
   x = 410,305,536/11,484
6. Step 6: Final answer
   x = 35,728.45