Finding the Third Proportional to 5,727 and 10,626

Step by Step Solution

1. Step 1: Write the proportion equation
   5,727 : 10,626 = 10,626 : x
2. Step 2: Convert to fraction form
   5,727/10,626 = 10,626/x
3. Step 3: Cross multiply
   5,727x = 10,626 × 10,626
4. Step 4: Simplify right side
   5,727x = 112,911,876
5. Step 5: Solve for x
   x = 112,911,876/5,727
6. Step 6: Final answer
   x = 19,715.71