Finding the Third Proportional to 5,837 and 10,540

Step by Step Solution

1. Step 1: Write the proportion equation
   5,837 : 10,540 = 10,540 : x
2. Step 2: Convert to fraction form
   5,837/10,540 = 10,540/x
3. Step 3: Cross multiply
   5,837x = 10,540 × 10,540
4. Step 4: Simplify right side
   5,837x = 111,091,600
5. Step 5: Solve for x
   x = 111,091,600/5,837
6. Step 6: Final answer
   x = 19,032.31