Finding the Third Proportional to 2,407.36 and 5,257.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.36 : 5,257.83 = 5,257.83 : x
2. Step 2: Convert to fraction form
   2,407.36/5,257.83 = 5,257.83/x
3. Step 3: Cross multiply
   2,407.36x = 5,257.83 × 5,257.83
4. Step 4: Simplify right side
   2,407.36x = 27,644,756.59
5. Step 5: Solve for x
   x = 27,644,756.59/2,407.36
6. Step 6: Final answer
   x = 11,483.44