Finding the Third Proportional to 9,923 and 21,830

Step by Step Solution

1. Step 1: Write the proportion equation
   9,923 : 21,830 = 21,830 : x
2. Step 2: Convert to fraction form
   9,923/21,830 = 21,830/x
3. Step 3: Cross multiply
   9,923x = 21,830 × 21,830
4. Step 4: Simplify right side
   9,923x = 476,548,900
5. Step 5: Solve for x
   x = 476,548,900/9,923
6. Step 6: Final answer
   x = 48,024.68