Finding the Third Proportional to 2,856 and 7,734

Step by Step Solution

1. Step 1: Write the proportion equation
   2,856 : 7,734 = 7,734 : x
2. Step 2: Convert to fraction form
   2,856/7,734 = 7,734/x
3. Step 3: Cross multiply
   2,856x = 7,734 × 7,734
4. Step 4: Simplify right side
   2,856x = 59,814,756
5. Step 5: Solve for x
   x = 59,814,756/2,856
6. Step 6: Final answer
   x = 20,943.54