Finding the Third Proportional to 2,871.75 and 4,064.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,871.75 : 4,064.25 = 4,064.25 : x
2. Step 2: Convert to fraction form
   2,871.75/4,064.25 = 4,064.25/x
3. Step 3: Cross multiply
   2,871.75x = 4,064.25 × 4,064.25
4. Step 4: Simplify right side
   2,871.75x = 16,518,128.06
5. Step 5: Solve for x
   x = 16,518,128.06/2,871.75
6. Step 6: Final answer
   x = 5,751.94