Finding the Third Proportional to 21,788 and 31,836

Step by Step Solution

1. Step 1: Write the proportion equation
   21,788 : 31,836 = 31,836 : x
2. Step 2: Convert to fraction form
   21,788/31,836 = 31,836/x
3. Step 3: Cross multiply
   21,788x = 31,836 × 31,836
4. Step 4: Simplify right side
   21,788x = 1,013,530,896
5. Step 5: Solve for x
   x = 1,013,530,896/21,788
6. Step 6: Final answer
   x = 46,517.85