Finding the Third Proportional to 2,569 and 3,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569 : 3,805.50 = 3,805.50 : x
2. Step 2: Convert to fraction form
   2,569/3,805.50 = 3,805.50/x
3. Step 3: Cross multiply
   2,569x = 3,805.50 × 3,805.50
4. Step 4: Simplify right side
   2,569x = 14,481,830.25
5. Step 5: Solve for x
   x = 14,481,830.25/2,569
6. Step 6: Final answer
   x = 5,637.15