Finding the Third Proportional to 2,277.56 and 3,423.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,277.56 : 3,423.38 = 3,423.38 : x
2. Step 2: Convert to fraction form
   2,277.56/3,423.38 = 3,423.38/x
3. Step 3: Cross multiply
   2,277.56x = 3,423.38 × 3,423.38
4. Step 4: Simplify right side
   2,277.56x = 11,719,496.39
5. Step 5: Solve for x
   x = 11,719,496.39/2,277.56
6. Step 6: Final answer
   x = 5,145.63