Finding the Third Proportional to 9,832 and 22,870

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832 : 22,870 = 22,870 : x
2. Step 2: Convert to fraction form
   9,832/22,870 = 22,870/x
3. Step 3: Cross multiply
   9,832x = 22,870 × 22,870
4. Step 4: Simplify right side
   9,832x = 523,036,900
5. Step 5: Solve for x
   x = 523,036,900/9,832
6. Step 6: Final answer
   x = 53,197.41