Finding the Third Proportional to 9,872 and 20,320

Step by Step Solution

1. Step 1: Write the proportion equation
   9,872 : 20,320 = 20,320 : x
2. Step 2: Convert to fraction form
   9,872/20,320 = 20,320/x
3. Step 3: Cross multiply
   9,872x = 20,320 × 20,320
4. Step 4: Simplify right side
   9,872x = 412,902,400
5. Step 5: Solve for x
   x = 412,902,400/9,872
6. Step 6: Final answer
   x = 41,825.61