Finding the Third Proportional to 1,441.13 and 2,257.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,441.13 : 2,257.31 = 2,257.31 : x
2. Step 2: Convert to fraction form
   1,441.13/2,257.31 = 2,257.31/x
3. Step 3: Cross multiply
   1,441.13x = 2,257.31 × 2,257.31
4. Step 4: Simplify right side
   1,441.13x = 5,095,459.72
5. Step 5: Solve for x
   x = 5,095,459.72/1,441.13
6. Step 6: Final answer
   x = 3,535.75