Finding the Third Proportional to 2,777 and 3,958.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,777 : 3,958.50 = 3,958.50 : x
2. Step 2: Convert to fraction form
   2,777/3,958.50 = 3,958.50/x
3. Step 3: Cross multiply
   2,777x = 3,958.50 × 3,958.50
4. Step 4: Simplify right side
   2,777x = 15,669,722.25
5. Step 5: Solve for x
   x = 15,669,722.25/2,777
6. Step 6: Final answer
   x = 5,642.68