Finding the Third Proportional to 2,609.72 and 5,628.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.72 : 5,628.66 = 5,628.66 : x
2. Step 2: Convert to fraction form
   2,609.72/5,628.66 = 5,628.66/x
3. Step 3: Cross multiply
   2,609.72x = 5,628.66 × 5,628.66
4. Step 4: Simplify right side
   2,609.72x = 31,681,771.18
5. Step 5: Solve for x
   x = 31,681,771.18/2,609.72
6. Step 6: Final answer
   x = 12,139.92