Finding the Third Proportional to 1,440.94 and 2,293.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,440.94 : 2,293.59 = 2,293.59 : x
2. Step 2: Convert to fraction form
   1,440.94/2,293.59 = 2,293.59/x
3. Step 3: Cross multiply
   1,440.94x = 2,293.59 × 2,293.59
4. Step 4: Simplify right side
   1,440.94x = 5,260,572.29
5. Step 5: Solve for x
   x = 5,260,572.29/1,440.94
6. Step 6: Final answer
   x = 3,650.80