Finding the Third Proportional to 1,636 and 1,824

Step by Step Solution

1. Step 1: Write the proportion equation
   1,636 : 1,824 = 1,824 : x
2. Step 2: Convert to fraction form
   1,636/1,824 = 1,824/x
3. Step 3: Cross multiply
   1,636x = 1,824 × 1,824
4. Step 4: Simplify right side
   1,636x = 3,326,976
5. Step 5: Solve for x
   x = 3,326,976/1,636
6. Step 6: Final answer
   x = 2,033.60