Finding the Third Proportional to 6,756 and 10,374

Step by Step Solution

1. Step 1: Write the proportion equation
   6,756 : 10,374 = 10,374 : x
2. Step 2: Convert to fraction form
   6,756/10,374 = 10,374/x
3. Step 3: Cross multiply
   6,756x = 10,374 × 10,374
4. Step 4: Simplify right side
   6,756x = 107,619,876
5. Step 5: Solve for x
   x = 107,619,876/6,756
6. Step 6: Final answer
   x = 15,929.53