Finding the Third Proportional to 6,774 and 10,147

Step by Step Solution

1. Step 1: Write the proportion equation
   6,774 : 10,147 = 10,147 : x
2. Step 2: Convert to fraction form
   6,774/10,147 = 10,147/x
3. Step 3: Cross multiply
   6,774x = 10,147 × 10,147
4. Step 4: Simplify right side
   6,774x = 102,961,609
5. Step 5: Solve for x
   x = 102,961,609/6,774
6. Step 6: Final answer
   x = 15,199.53