Finding the Third Proportional to 2,269.27 and 3,400.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.27 : 3,400.73 = 3,400.73 : x
2. Step 2: Convert to fraction form
   2,269.27/3,400.73 = 3,400.73/x
3. Step 3: Cross multiply
   2,269.27x = 3,400.73 × 3,400.73
4. Step 4: Simplify right side
   2,269.27x = 11,564,994.29
5. Step 5: Solve for x
   x = 11,564,994.29/2,269.27
6. Step 6: Final answer
   x = 5,096.36