Finding the Third Proportional to 2,301.75 and 3,544.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,301.75 : 3,544.31 = 3,544.31 : x
2. Step 2: Convert to fraction form
   2,301.75/3,544.31 = 3,544.31/x
3. Step 3: Cross multiply
   2,301.75x = 3,544.31 × 3,544.31
4. Step 4: Simplify right side
   2,301.75x = 12,562,151.10
5. Step 5: Solve for x
   x = 12,562,151.10/2,301.75
6. Step 6: Final answer
   x = 5,457.65