Finding the Third Proportional to 20,500 and 30,689

Step by Step Solution

1. Step 1: Write the proportion equation
   20,500 : 30,689 = 30,689 : x
2. Step 2: Convert to fraction form
   20,500/30,689 = 30,689/x
3. Step 3: Cross multiply
   20,500x = 30,689 × 30,689
4. Step 4: Simplify right side
   20,500x = 941,814,721
5. Step 5: Solve for x
   x = 941,814,721/20,500
6. Step 6: Final answer
   x = 45,942.18