Finding the Third Proportional to 11,672 and 17,256

Step by Step Solution

1. Step 1: Write the proportion equation
   11,672 : 17,256 = 17,256 : x
2. Step 2: Convert to fraction form
   11,672/17,256 = 17,256/x
3. Step 3: Cross multiply
   11,672x = 17,256 × 17,256
4. Step 4: Simplify right side
   11,672x = 297,769,536
5. Step 5: Solve for x
   x = 297,769,536/11,672
6. Step 6: Final answer
   x = 25,511.44