Finding the Third Proportional to 10,828 and 16,360

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828 : 16,360 = 16,360 : x
2. Step 2: Convert to fraction form
   10,828/16,360 = 16,360/x
3. Step 3: Cross multiply
   10,828x = 16,360 × 16,360
4. Step 4: Simplify right side
   10,828x = 267,649,600
5. Step 5: Solve for x
   x = 267,649,600/10,828
6. Step 6: Final answer
   x = 24,718.29