Finding the Third Proportional to 2,274.75 and 3,414.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,274.75 : 3,414.38 = 3,414.38 : x
2. Step 2: Convert to fraction form
   2,274.75/3,414.38 = 3,414.38/x
3. Step 3: Cross multiply
   2,274.75x = 3,414.38 × 3,414.38
4. Step 4: Simplify right side
   2,274.75x = 11,657,956.64
5. Step 5: Solve for x
   x = 11,657,956.64/2,274.75
6. Step 6: Final answer
   x = 5,124.94