Finding the Third Proportional to 2,057 and 3,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057 : 3,013.50 = 3,013.50 : x
2. Step 2: Convert to fraction form
   2,057/3,013.50 = 3,013.50/x
3. Step 3: Cross multiply
   2,057x = 3,013.50 × 3,013.50
4. Step 4: Simplify right side
   2,057x = 9,081,182.25
5. Step 5: Solve for x
   x = 9,081,182.25/2,057
6. Step 6: Final answer
   x = 4,414.77