Finding the Third Proportional to 2,778.19 and 3,906.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,778.19 : 3,906.56 = 3,906.56 : x
2. Step 2: Convert to fraction form
   2,778.19/3,906.56 = 3,906.56/x
3. Step 3: Cross multiply
   2,778.19x = 3,906.56 × 3,906.56
4. Step 4: Simplify right side
   2,778.19x = 15,261,230.57
5. Step 5: Solve for x
   x = 15,261,230.57/2,778.19
6. Step 6: Final answer
   x = 5,493.23