Finding the Third Proportional to 2,637.56 and 5,797.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,637.56 : 5,797.69 = 5,797.69 : x
2. Step 2: Convert to fraction form
   2,637.56/5,797.69 = 5,797.69/x
3. Step 3: Cross multiply
   2,637.56x = 5,797.69 × 5,797.69
4. Step 4: Simplify right side
   2,637.56x = 33,613,180.35
5. Step 5: Solve for x
   x = 33,613,180.35/2,637.56
6. Step 6: Final answer
   x = 12,744.03