Finding the Third Proportional to 2,609 and 5,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609 : 5,651.50 = 5,651.50 : x
2. Step 2: Convert to fraction form
   2,609/5,651.50 = 5,651.50/x
3. Step 3: Cross multiply
   2,609x = 5,651.50 × 5,651.50
4. Step 4: Simplify right side
   2,609x = 31,939,452.25
5. Step 5: Solve for x
   x = 31,939,452.25/2,609
6. Step 6: Final answer
   x = 12,242.03