Finding the Third Proportional to 2,599.50 and 4,040.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599.50 : 4,040.25 = 4,040.25 : x
2. Step 2: Convert to fraction form
   2,599.50/4,040.25 = 4,040.25/x
3. Step 3: Cross multiply
   2,599.50x = 4,040.25 × 4,040.25
4. Step 4: Simplify right side
   2,599.50x = 16,323,620.06
5. Step 5: Solve for x
   x = 16,323,620.06/2,599.50
6. Step 6: Final answer
   x = 6,279.52