Finding the Third Proportional to 6,774 and 10,191

Step by Step Solution

1. Step 1: Write the proportion equation
   6,774 : 10,191 = 10,191 : x
2. Step 2: Convert to fraction form
   6,774/10,191 = 10,191/x
3. Step 3: Cross multiply
   6,774x = 10,191 × 10,191
4. Step 4: Simplify right side
   6,774x = 103,856,481
5. Step 5: Solve for x
   x = 103,856,481/6,774
6. Step 6: Final answer
   x = 15,331.63