Finding the Third Proportional to 2,301.75 and 5,040.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,301.75 : 5,040.38 = 5,040.38 : x
2. Step 2: Convert to fraction form
   2,301.75/5,040.38 = 5,040.38/x
3. Step 3: Cross multiply
   2,301.75x = 5,040.38 × 5,040.38
4. Step 4: Simplify right side
   2,301.75x = 25,405,380.14
5. Step 5: Solve for x
   x = 25,405,380.14/2,301.75
6. Step 6: Final answer
   x = 11,037.42