Finding the Third Proportional to 5,853 and 10,578

Step by Step Solution

1. Step 1: Write the proportion equation
   5,853 : 10,578 = 10,578 : x
2. Step 2: Convert to fraction form
   5,853/10,578 = 10,578/x
3. Step 3: Cross multiply
   5,853x = 10,578 × 10,578
4. Step 4: Simplify right side
   5,853x = 111,894,084
5. Step 5: Solve for x
   x = 111,894,084/5,853
6. Step 6: Final answer
   x = 19,117.39