Finding the Third Proportional to 6,786 and 10,434

Step by Step Solution

1. Step 1: Write the proportion equation
   6,786 : 10,434 = 10,434 : x
2. Step 2: Convert to fraction form
   6,786/10,434 = 10,434/x
3. Step 3: Cross multiply
   6,786x = 10,434 × 10,434
4. Step 4: Simplify right side
   6,786x = 108,868,356
5. Step 5: Solve for x
   x = 108,868,356/6,786
6. Step 6: Final answer
   x = 16,043.08