Finding the Third Proportional to 2,038.78 and 3,139.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,038.78 : 3,139.17 = 3,139.17 : x
2. Step 2: Convert to fraction form
   2,038.78/3,139.17 = 3,139.17/x
3. Step 3: Cross multiply
   2,038.78x = 3,139.17 × 3,139.17
4. Step 4: Simplify right side
   2,038.78x = 9,854,400.06
5. Step 5: Solve for x
   x = 9,854,400.06/2,038.78
6. Step 6: Final answer
   x = 4,833.48