Finding the Third Proportional to 2,057.81 and 4,011.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.81 : 4,011.38 = 4,011.38 : x
2. Step 2: Convert to fraction form
   2,057.81/4,011.38 = 4,011.38/x
3. Step 3: Cross multiply
   2,057.81x = 4,011.38 × 4,011.38
4. Step 4: Simplify right side
   2,057.81x = 16,091,129.39
5. Step 5: Solve for x
   x = 16,091,129.39/2,057.81
6. Step 6: Final answer
   x = 7,819.53