Finding the Third Proportional to 2,196 and 4,824

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196 : 4,824 = 4,824 : x
2. Step 2: Convert to fraction form
   2,196/4,824 = 4,824/x
3. Step 3: Cross multiply
   2,196x = 4,824 × 4,824
4. Step 4: Simplify right side
   2,196x = 23,270,976
5. Step 5: Solve for x
   x = 23,270,976/2,196
6. Step 6: Final answer
   x = 10,596.98