Finding the Third Proportional to 2,078.25 and 4,568.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.25 : 4,568.25 = 4,568.25 : x
2. Step 2: Convert to fraction form
   2,078.25/4,568.25 = 4,568.25/x
3. Step 3: Cross multiply
   2,078.25x = 4,568.25 × 4,568.25
4. Step 4: Simplify right side
   2,078.25x = 20,868,908.06
5. Step 5: Solve for x
   x = 20,868,908.06/2,078.25
6. Step 6: Final answer
   x = 10,041.58