Finding the Third Proportional to 2,576 and 3,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,576 : 3,859.50 = 3,859.50 : x
2. Step 2: Convert to fraction form
   2,576/3,859.50 = 3,859.50/x
3. Step 3: Cross multiply
   2,576x = 3,859.50 × 3,859.50
4. Step 4: Simplify right side
   2,576x = 14,895,740.25
5. Step 5: Solve for x
   x = 14,895,740.25/2,576
6. Step 6: Final answer
   x = 5,782.51