Finding the Third Proportional to 20,408 and 30,762

Step by Step Solution

1. Step 1: Write the proportion equation
   20,408 : 30,762 = 30,762 : x
2. Step 2: Convert to fraction form
   20,408/30,762 = 30,762/x
3. Step 3: Cross multiply
   20,408x = 30,762 × 30,762
4. Step 4: Simplify right side
   20,408x = 946,300,644
5. Step 5: Solve for x
   x = 946,300,644/20,408
6. Step 6: Final answer
   x = 46,369.10