Finding the Third Proportional to 2,738.81 and 3,979.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.81 : 3,979.69 = 3,979.69 : x
2. Step 2: Convert to fraction form
   2,738.81/3,979.69 = 3,979.69/x
3. Step 3: Cross multiply
   2,738.81x = 3,979.69 × 3,979.69
4. Step 4: Simplify right side
   2,738.81x = 15,837,912.60
5. Step 5: Solve for x
   x = 15,837,912.60/2,738.81
6. Step 6: Final answer
   x = 5,782.77