Finding the Third Proportional to 6,738 and 10,243

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738 : 10,243 = 10,243 : x
2. Step 2: Convert to fraction form
   6,738/10,243 = 10,243/x
3. Step 3: Cross multiply
   6,738x = 10,243 × 10,243
4. Step 4: Simplify right side
   6,738x = 104,919,049
5. Step 5: Solve for x
   x = 104,919,049/6,738
6. Step 6: Final answer
   x = 15,571.25