Finding the Third Proportional to 6,734 and 10,462

Step by Step Solution

1. Step 1: Write the proportion equation
   6,734 : 10,462 = 10,462 : x
2. Step 2: Convert to fraction form
   6,734/10,462 = 10,462/x
3. Step 3: Cross multiply
   6,734x = 10,462 × 10,462
4. Step 4: Simplify right side
   6,734x = 109,453,444
5. Step 5: Solve for x
   x = 109,453,444/6,734
6. Step 6: Final answer
   x = 16,253.85