Finding the Third Proportional to 2,569 and 3,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569 : 3,459.50 = 3,459.50 : x
2. Step 2: Convert to fraction form
   2,569/3,459.50 = 3,459.50/x
3. Step 3: Cross multiply
   2,569x = 3,459.50 × 3,459.50
4. Step 4: Simplify right side
   2,569x = 11,968,140.25
5. Step 5: Solve for x
   x = 11,968,140.25/2,569
6. Step 6: Final answer
   x = 4,658.68