Finding the Third Proportional to 2,868.25 and 4,563.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,868.25 : 4,563.25 = 4,563.25 : x
2. Step 2: Convert to fraction form
   2,868.25/4,563.25 = 4,563.25/x
3. Step 3: Cross multiply
   2,868.25x = 4,563.25 × 4,563.25
4. Step 4: Simplify right side
   2,868.25x = 20,823,250.56
5. Step 5: Solve for x
   x = 20,823,250.56/2,868.25
6. Step 6: Final answer
   x = 7,259.91