Finding the Third Proportional to 20,454 and 30,682

Step by Step Solution

1. Step 1: Write the proportion equation
   20,454 : 30,682 = 30,682 : x
2. Step 2: Convert to fraction form
   20,454/30,682 = 30,682/x
3. Step 3: Cross multiply
   20,454x = 30,682 × 30,682
4. Step 4: Simplify right side
   20,454x = 941,385,124
5. Step 5: Solve for x
   x = 941,385,124/20,454
6. Step 6: Final answer
   x = 46,024.50