Finding the Third Proportional to 2,357.25 and 5,058.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357.25 : 5,058.75 = 5,058.75 : x
2. Step 2: Convert to fraction form
   2,357.25/5,058.75 = 5,058.75/x
3. Step 3: Cross multiply
   2,357.25x = 5,058.75 × 5,058.75
4. Step 4: Simplify right side
   2,357.25x = 25,590,951.56
5. Step 5: Solve for x
   x = 25,590,951.56/2,357.25
6. Step 6: Final answer
   x = 10,856.27