Finding the Third Proportional to 21,824 and 31,896

Step by Step Solution

1. Step 1: Write the proportion equation
   21,824 : 31,896 = 31,896 : x
2. Step 2: Convert to fraction form
   21,824/31,896 = 31,896/x
3. Step 3: Cross multiply
   21,824x = 31,896 × 31,896
4. Step 4: Simplify right side
   21,824x = 1,017,354,816
5. Step 5: Solve for x
   x = 1,017,354,816/21,824
6. Step 6: Final answer
   x = 46,616.33