Finding the Third Proportional to 2,596.50 and 5,609

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.50 : 5,609 = 5,609 : x
2. Step 2: Convert to fraction form
   2,596.50/5,609 = 5,609/x
3. Step 3: Cross multiply
   2,596.50x = 5,609 × 5,609
4. Step 4: Simplify right side
   2,596.50x = 31,460,881
5. Step 5: Solve for x
   x = 31,460,881/2,596.50
6. Step 6: Final answer
   x = 12,116.65