Finding the Third Proportional to 2,628.70 and 5,747.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,628.70 : 5,747.20 = 5,747.20 : x
2. Step 2: Convert to fraction form
   2,628.70/5,747.20 = 5,747.20/x
3. Step 3: Cross multiply
   2,628.70x = 5,747.20 × 5,747.20
4. Step 4: Simplify right side
   2,628.70x = 33,030,343.76
5. Step 5: Solve for x
   x = 33,030,343.76/2,628.70
6. Step 6: Final answer
   x = 12,565.26