Finding the Third Proportional to 2,508.75 and 5,407.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,508.75 : 5,407.31 = 5,407.31 : x
2. Step 2: Convert to fraction form
   2,508.75/5,407.31 = 5,407.31/x
3. Step 3: Cross multiply
   2,508.75x = 5,407.31 × 5,407.31
4. Step 4: Simplify right side
   2,508.75x = 29,239,028.47
5. Step 5: Solve for x
   x = 29,239,028.47/2,508.75
6. Step 6: Final answer
   x = 11,654.82