Finding the Third Proportional to 2,357.50 and 5,180.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357.50 : 5,180.75 = 5,180.75 : x
2. Step 2: Convert to fraction form
   2,357.50/5,180.75 = 5,180.75/x
3. Step 3: Cross multiply
   2,357.50x = 5,180.75 × 5,180.75
4. Step 4: Simplify right side
   2,357.50x = 26,840,170.56
5. Step 5: Solve for x
   x = 26,840,170.56/2,357.50
6. Step 6: Final answer
   x = 11,385.01