Finding the Third Proportional to 1,019.31 and 2,233.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.31 : 2,233.94 = 2,233.94 : x
2. Step 2: Convert to fraction form
   1,019.31/2,233.94 = 2,233.94/x
3. Step 3: Cross multiply
   1,019.31x = 2,233.94 × 2,233.94
4. Step 4: Simplify right side
   1,019.31x = 4,990,476.75
5. Step 5: Solve for x
   x = 4,990,476.75/1,019.31
6. Step 6: Final answer
   x = 4,895.92