Finding the Third Proportional to 1,011.38 and 1,608.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,011.38 : 1,608.38 = 1,608.38 : x
2. Step 2: Convert to fraction form
   1,011.38/1,608.38 = 1,608.38/x
3. Step 3: Cross multiply
   1,011.38x = 1,608.38 × 1,608.38
4. Step 4: Simplify right side
   1,011.38x = 2,586,870.14
5. Step 5: Solve for x
   x = 2,586,870.14/1,011.38
6. Step 6: Final answer
   x = 2,557.78