Finding the Third Proportional to 2,371.46 and 3,544.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,371.46 : 3,544.07 = 3,544.07 : x
2. Step 2: Convert to fraction form
   2,371.46/3,544.07 = 3,544.07/x
3. Step 3: Cross multiply
   2,371.46x = 3,544.07 × 3,544.07
4. Step 4: Simplify right side
   2,371.46x = 12,560,406.69
5. Step 5: Solve for x
   x = 12,560,406.69/2,371.46
6. Step 6: Final answer
   x = 5,296.48