Finding the Third Proportional to 1,648 and 3,499

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648 : 3,499 = 3,499 : x
2. Step 2: Convert to fraction form
   1,648/3,499 = 3,499/x
3. Step 3: Cross multiply
   1,648x = 3,499 × 3,499
4. Step 4: Simplify right side
   1,648x = 12,243,001
5. Step 5: Solve for x
   x = 12,243,001/1,648
6. Step 6: Final answer
   x = 7,429.01