Finding the Third Proportional to 1,414.75 and 2,057.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.75 : 2,057.94 = 2,057.94 : x
2. Step 2: Convert to fraction form
   1,414.75/2,057.94 = 2,057.94/x
3. Step 3: Cross multiply
   1,414.75x = 2,057.94 × 2,057.94
4. Step 4: Simplify right side
   1,414.75x = 4,235,106.75
5. Step 5: Solve for x
   x = 4,235,106.75/1,414.75
6. Step 6: Final answer
   x = 2,993.54