Finding the Third Proportional to 2,057.63 and 3,081.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.63 : 3,081.94 = 3,081.94 : x
2. Step 2: Convert to fraction form
   2,057.63/3,081.94 = 3,081.94/x
3. Step 3: Cross multiply
   2,057.63x = 3,081.94 × 3,081.94
4. Step 4: Simplify right side
   2,057.63x = 9,498,338.75
5. Step 5: Solve for x
   x = 9,498,338.75/2,057.63
6. Step 6: Final answer
   x = 4,616.17