Finding the Third Proportional to 2,688 and 5,824

Step by Step Solution

1. Step 1: Write the proportion equation
   2,688 : 5,824 = 5,824 : x
2. Step 2: Convert to fraction form
   2,688/5,824 = 5,824/x
3. Step 3: Cross multiply
   2,688x = 5,824 × 5,824
4. Step 4: Simplify right side
   2,688x = 33,918,976
5. Step 5: Solve for x
   x = 33,918,976/2,688
6. Step 6: Final answer
   x = 12,618.67