Finding the Third Proportional to 12,634 and 21,689

Step by Step Solution

1. Step 1: Write the proportion equation
   12,634 : 21,689 = 21,689 : x
2. Step 2: Convert to fraction form
   12,634/21,689 = 21,689/x
3. Step 3: Cross multiply
   12,634x = 21,689 × 21,689
4. Step 4: Simplify right side
   12,634x = 470,412,721
5. Step 5: Solve for x
   x = 470,412,721/12,634
6. Step 6: Final answer
   x = 37,233.87