Finding the Third Proportional to 23,824 and 50,814

Step by Step Solution

1. Step 1: Write the proportion equation
   23,824 : 50,814 = 50,814 : x
2. Step 2: Convert to fraction form
   23,824/50,814 = 50,814/x
3. Step 3: Cross multiply
   23,824x = 50,814 × 50,814
4. Step 4: Simplify right side
   23,824x = 2,582,062,596
5. Step 5: Solve for x
   x = 2,582,062,596/23,824
6. Step 6: Final answer
   x = 108,380.73