Finding the Third Proportional to 2,196 and 5,183.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196 : 5,183.25 = 5,183.25 : x
2. Step 2: Convert to fraction form
   2,196/5,183.25 = 5,183.25/x
3. Step 3: Cross multiply
   2,196x = 5,183.25 × 5,183.25
4. Step 4: Simplify right side
   2,196x = 26,866,080.56
5. Step 5: Solve for x
   x = 26,866,080.56/2,196
6. Step 6: Final answer
   x = 12,234.10