Finding the Third Proportional to 2,777.50 and 3,906.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,777.50 : 3,906.38 = 3,906.38 : x
2. Step 2: Convert to fraction form
   2,777.50/3,906.38 = 3,906.38/x
3. Step 3: Cross multiply
   2,777.50x = 3,906.38 × 3,906.38
4. Step 4: Simplify right side
   2,777.50x = 15,259,765.64
5. Step 5: Solve for x
   x = 15,259,765.64/2,777.50
6. Step 6: Final answer
   x = 5,494.07