Finding the Third Proportional to 2,506.15 and 5,409.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.15 : 5,409.49 = 5,409.49 : x
2. Step 2: Convert to fraction form
   2,506.15/5,409.49 = 5,409.49/x
3. Step 3: Cross multiply
   2,506.15x = 5,409.49 × 5,409.49
4. Step 4: Simplify right side
   2,506.15x = 29,262,605.73
5. Step 5: Solve for x
   x = 29,262,605.73/2,506.15
6. Step 6: Final answer
   x = 11,676.33