Finding the Third Proportional to 1,378.27 and 2,040.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.27 : 2,040.82 = 2,040.82 : x
2. Step 2: Convert to fraction form
   1,378.27/2,040.82 = 2,040.82/x
3. Step 3: Cross multiply
   1,378.27x = 2,040.82 × 2,040.82
4. Step 4: Simplify right side
   1,378.27x = 4,164,947.55
5. Step 5: Solve for x
   x = 4,164,947.55/1,378.27
6. Step 6: Final answer
   x = 3,021.88