Finding the Third Proportional to 3,922 and 6,499

Step by Step Solution

1. Step 1: Write the proportion equation
   3,922 : 6,499 = 6,499 : x
2. Step 2: Convert to fraction form
   3,922/6,499 = 6,499/x
3. Step 3: Cross multiply
   3,922x = 6,499 × 6,499
4. Step 4: Simplify right side
   3,922x = 42,237,001
5. Step 5: Solve for x
   x = 42,237,001/3,922
6. Step 6: Final answer
   x = 10,769.25