Finding the Third Proportional to 11,760 and 18,256

Step by Step Solution

1. Step 1: Write the proportion equation
   11,760 : 18,256 = 18,256 : x
2. Step 2: Convert to fraction form
   11,760/18,256 = 18,256/x
3. Step 3: Cross multiply
   11,760x = 18,256 × 18,256
4. Step 4: Simplify right side
   11,760x = 333,281,536
5. Step 5: Solve for x
   x = 333,281,536/11,760
6. Step 6: Final answer
   x = 28,340.27