Finding the Third Proportional to 9,500 and 20,026

Step by Step Solution

1. Step 1: Write the proportion equation
   9,500 : 20,026 = 20,026 : x
2. Step 2: Convert to fraction form
   9,500/20,026 = 20,026/x
3. Step 3: Cross multiply
   9,500x = 20,026 × 20,026
4. Step 4: Simplify right side
   9,500x = 401,040,676
5. Step 5: Solve for x
   x = 401,040,676/9,500
6. Step 6: Final answer
   x = 42,214.81