Finding the Third Proportional to 6,338 and 10,434

Step by Step Solution

1. Step 1: Write the proportion equation
   6,338 : 10,434 = 10,434 : x
2. Step 2: Convert to fraction form
   6,338/10,434 = 10,434/x
3. Step 3: Cross multiply
   6,338x = 10,434 × 10,434
4. Step 4: Simplify right side
   6,338x = 108,868,356
5. Step 5: Solve for x
   x = 108,868,356/6,338
6. Step 6: Final answer
   x = 17,177.08