Finding the Third Proportional to 6,738 and 10,386

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738 : 10,386 = 10,386 : x
2. Step 2: Convert to fraction form
   6,738/10,386 = 10,386/x
3. Step 3: Cross multiply
   6,738x = 10,386 × 10,386
4. Step 4: Simplify right side
   6,738x = 107,868,996
5. Step 5: Solve for x
   x = 107,868,996/6,738
6. Step 6: Final answer
   x = 16,009.05