Finding the Third Proportional to 9,540 and 20,234

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540 : 20,234 = 20,234 : x
2. Step 2: Convert to fraction form
   9,540/20,234 = 20,234/x
3. Step 3: Cross multiply
   9,540x = 20,234 × 20,234
4. Step 4: Simplify right side
   9,540x = 409,414,756
5. Step 5: Solve for x
   x = 409,414,756/9,540
6. Step 6: Final answer
   x = 42,915.59