Finding the Third Proportional to 21,198 and 31,788

Step by Step Solution

1. Step 1: Write the proportion equation
   21,198 : 31,788 = 31,788 : x
2. Step 2: Convert to fraction form
   21,198/31,788 = 31,788/x
3. Step 3: Cross multiply
   21,198x = 31,788 × 31,788
4. Step 4: Simplify right side
   21,198x = 1,010,476,944
5. Step 5: Solve for x
   x = 1,010,476,944/21,198
6. Step 6: Final answer
   x = 47,668.50