Finding the Third Proportional to 1,444.24 and 2,227.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,444.24 : 2,227.58 = 2,227.58 : x
2. Step 2: Convert to fraction form
   1,444.24/2,227.58 = 2,227.58/x
3. Step 3: Cross multiply
   1,444.24x = 2,227.58 × 2,227.58
4. Step 4: Simplify right side
   1,444.24x = 4,962,108.65
5. Step 5: Solve for x
   x = 4,962,108.65/1,444.24
6. Step 6: Final answer
   x = 3,435.80