Finding the Third Proportional to 6,774 and 10,233

Step by Step Solution

1. Step 1: Write the proportion equation
   6,774 : 10,233 = 10,233 : x
2. Step 2: Convert to fraction form
   6,774/10,233 = 10,233/x
3. Step 3: Cross multiply
   6,774x = 10,233 × 10,233
4. Step 4: Simplify right side
   6,774x = 104,714,289
5. Step 5: Solve for x
   x = 104,714,289/6,774
6. Step 6: Final answer
   x = 15,458.27