Finding the Third Proportional to 2,740.78 and 5,942.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,740.78 : 5,942.81 = 5,942.81 : x
2. Step 2: Convert to fraction form
   2,740.78/5,942.81 = 5,942.81/x
3. Step 3: Cross multiply
   2,740.78x = 5,942.81 × 5,942.81
4. Step 4: Simplify right side
   2,740.78x = 35,317,020.41
5. Step 5: Solve for x
   x = 35,317,020.41/2,740.78
6. Step 6: Final answer
   x = 12,885.75