Finding the Third Proportional to 23,824 and 50,810

Step by Step Solution

1. Step 1: Write the proportion equation
   23,824 : 50,810 = 50,810 : x
2. Step 2: Convert to fraction form
   23,824/50,810 = 50,810/x
3. Step 3: Cross multiply
   23,824x = 50,810 × 50,810
4. Step 4: Simplify right side
   23,824x = 2,581,656,100
5. Step 5: Solve for x
   x = 2,581,656,100/23,824
6. Step 6: Final answer
   x = 108,363.67