Finding the Third Proportional to 2,271.94 and 3,414.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,271.94 : 3,414.94 = 3,414.94 : x
2. Step 2: Convert to fraction form
   2,271.94/3,414.94 = 3,414.94/x
3. Step 3: Cross multiply
   2,271.94x = 3,414.94 × 3,414.94
4. Step 4: Simplify right side
   2,271.94x = 11,661,798.13
5. Step 5: Solve for x
   x = 11,661,798.13/2,271.94
6. Step 6: Final answer
   x = 5,132.97