Finding the Third Proportional to 1,662 and 1,833

Step by Step Solution

1. Step 1: Write the proportion equation
   1,662 : 1,833 = 1,833 : x
2. Step 2: Convert to fraction form
   1,662/1,833 = 1,833/x
3. Step 3: Cross multiply
   1,662x = 1,833 × 1,833
4. Step 4: Simplify right side
   1,662x = 3,359,889
5. Step 5: Solve for x
   x = 3,359,889/1,662
6. Step 6: Final answer
   x = 2,021.59