Finding the Third Proportional to 21,824 and 33,590

Step by Step Solution

1. Step 1: Write the proportion equation
   21,824 : 33,590 = 33,590 : x
2. Step 2: Convert to fraction form
   21,824/33,590 = 33,590/x
3. Step 3: Cross multiply
   21,824x = 33,590 × 33,590
4. Step 4: Simplify right side
   21,824x = 1,128,288,100
5. Step 5: Solve for x
   x = 1,128,288,100/21,824
6. Step 6: Final answer
   x = 51,699.42