Finding the Third Proportional to 21,776 and 31,824

Step by Step Solution

1. Step 1: Write the proportion equation
   21,776 : 31,824 = 31,824 : x
2. Step 2: Convert to fraction form
   21,776/31,824 = 31,824/x
3. Step 3: Cross multiply
   21,776x = 31,824 × 31,824
4. Step 4: Simplify right side
   21,776x = 1,012,766,976
5. Step 5: Solve for x
   x = 1,012,766,976/21,776
6. Step 6: Final answer
   x = 46,508.40