Finding the Third Proportional to 2,625.75 and 3,982.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,625.75 : 3,982.88 = 3,982.88 : x
2. Step 2: Convert to fraction form
   2,625.75/3,982.88 = 3,982.88/x
3. Step 3: Cross multiply
   2,625.75x = 3,982.88 × 3,982.88
4. Step 4: Simplify right side
   2,625.75x = 15,863,293.27
5. Step 5: Solve for x
   x = 15,863,293.27/2,625.75
6. Step 6: Final answer
   x = 6,041.43