Finding the Third Proportional to 2,286.28 and 3,419.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,286.28 : 3,419.72 = 3,419.72 : x
2. Step 2: Convert to fraction form
   2,286.28/3,419.72 = 3,419.72/x
3. Step 3: Cross multiply
   2,286.28x = 3,419.72 × 3,419.72
4. Step 4: Simplify right side
   2,286.28x = 11,694,476.33
5. Step 5: Solve for x
   x = 11,694,476.33/2,286.28
6. Step 6: Final answer
   x = 5,115.06