Finding the Third Proportional to 1,057 and 1,545.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057 : 1,545.38 = 1,545.38 : x
2. Step 2: Convert to fraction form
   1,057/1,545.38 = 1,545.38/x
3. Step 3: Cross multiply
   1,057x = 1,545.38 × 1,545.38
4. Step 4: Simplify right side
   1,057x = 2,388,183.89
5. Step 5: Solve for x
   x = 2,388,183.89/1,057
6. Step 6: Final answer
   x = 2,259.40