Finding the Third Proportional to 10,828 and 17,324

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828 : 17,324 = 17,324 : x
2. Step 2: Convert to fraction form
   10,828/17,324 = 17,324/x
3. Step 3: Cross multiply
   10,828x = 17,324 × 17,324
4. Step 4: Simplify right side
   10,828x = 300,120,976
5. Step 5: Solve for x
   x = 300,120,976/10,828
6. Step 6: Final answer
   x = 27,717.12