Finding the Third Proportional to 6,426 and 10,274

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426 : 10,274 = 10,274 : x
2. Step 2: Convert to fraction form
   6,426/10,274 = 10,274/x
3. Step 3: Cross multiply
   6,426x = 10,274 × 10,274
4. Step 4: Simplify right side
   6,426x = 105,555,076
5. Step 5: Solve for x
   x = 105,555,076/6,426
6. Step 6: Final answer
   x = 16,426.25