Finding the Third Proportional to 2,196.75 and 4,854.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.75 : 4,854.75 = 4,854.75 : x
2. Step 2: Convert to fraction form
   2,196.75/4,854.75 = 4,854.75/x
3. Step 3: Cross multiply
   2,196.75x = 4,854.75 × 4,854.75
4. Step 4: Simplify right side
   2,196.75x = 23,568,597.56
5. Step 5: Solve for x
   x = 23,568,597.56/2,196.75
6. Step 6: Final answer
   x = 10,728.85