Finding the Third Proportional to 1,664 and 4,499

Step by Step Solution

1. Step 1: Write the proportion equation
   1,664 : 4,499 = 4,499 : x
2. Step 2: Convert to fraction form
   1,664/4,499 = 4,499/x
3. Step 3: Cross multiply
   1,664x = 4,499 × 4,499
4. Step 4: Simplify right side
   1,664x = 20,241,001
5. Step 5: Solve for x
   x = 20,241,001/1,664
6. Step 6: Final answer
   x = 12,164.06