Finding the Third Proportional to 23,824 and 50,812

Step by Step Solution

1. Step 1: Write the proportion equation
   23,824 : 50,812 = 50,812 : x
2. Step 2: Convert to fraction form
   23,824/50,812 = 50,812/x
3. Step 3: Cross multiply
   23,824x = 50,812 × 50,812
4. Step 4: Simplify right side
   23,824x = 2,581,859,344
5. Step 5: Solve for x
   x = 2,581,859,344/23,824
6. Step 6: Final answer
   x = 108,372.20