Finding the Third Proportional to 21,682 and 31,697

Step by Step Solution

1. Step 1: Write the proportion equation
   21,682 : 31,697 = 31,697 : x
2. Step 2: Convert to fraction form
   21,682/31,697 = 31,697/x
3. Step 3: Cross multiply
   21,682x = 31,697 × 31,697
4. Step 4: Simplify right side
   21,682x = 1,004,699,809
5. Step 5: Solve for x
   x = 1,004,699,809/21,682
6. Step 6: Final answer
   x = 46,337.97