Finding the Third Proportional to 9,500 and 20,402

Step by Step Solution

1. Step 1: Write the proportion equation
   9,500 : 20,402 = 20,402 : x
2. Step 2: Convert to fraction form
   9,500/20,402 = 20,402/x
3. Step 3: Cross multiply
   9,500x = 20,402 × 20,402
4. Step 4: Simplify right side
   9,500x = 416,241,604
5. Step 5: Solve for x
   x = 416,241,604/9,500
6. Step 6: Final answer
   x = 43,814.91