Finding the Third Proportional to 6,816 and 12,360

Step by Step Solution

1. Step 1: Write the proportion equation
   6,816 : 12,360 = 12,360 : x
2. Step 2: Convert to fraction form
   6,816/12,360 = 12,360/x
3. Step 3: Cross multiply
   6,816x = 12,360 × 12,360
4. Step 4: Simplify right side
   6,816x = 152,769,600
5. Step 5: Solve for x
   x = 152,769,600/6,816
6. Step 6: Final answer
   x = 22,413.38