Finding the Third Proportional to 20,142 and 30,267

Step by Step Solution

1. Step 1: Write the proportion equation
   20,142 : 30,267 = 30,267 : x
2. Step 2: Convert to fraction form
   20,142/30,267 = 30,267/x
3. Step 3: Cross multiply
   20,142x = 30,267 × 30,267
4. Step 4: Simplify right side
   20,142x = 916,091,289
5. Step 5: Solve for x
   x = 916,091,289/20,142
6. Step 6: Final answer
   x = 45,481.64