Finding the Third Proportional to 2,738.81 and 5,139.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.81 : 5,139.56 = 5,139.56 : x
2. Step 2: Convert to fraction form
   2,738.81/5,139.56 = 5,139.56/x
3. Step 3: Cross multiply
   2,738.81x = 5,139.56 × 5,139.56
4. Step 4: Simplify right side
   2,738.81x = 26,415,102.69
5. Step 5: Solve for x
   x = 26,415,102.69/2,738.81
6. Step 6: Final answer
   x = 9,644.73