Finding the Third Proportional to 5,834 and 12,757

Step by Step Solution

1. Step 1: Write the proportion equation
   5,834 : 12,757 = 12,757 : x
2. Step 2: Convert to fraction form
   5,834/12,757 = 12,757/x
3. Step 3: Cross multiply
   5,834x = 12,757 × 12,757
4. Step 4: Simplify right side
   5,834x = 162,741,049
5. Step 5: Solve for x
   x = 162,741,049/5,834
6. Step 6: Final answer
   x = 27,895.28