Finding the Third Proportional to 23,823 and 50,729

Step by Step Solution

1. Step 1: Write the proportion equation
   23,823 : 50,729 = 50,729 : x
2. Step 2: Convert to fraction form
   23,823/50,729 = 50,729/x
3. Step 3: Cross multiply
   23,823x = 50,729 × 50,729
4. Step 4: Simplify right side
   23,823x = 2,573,431,441
5. Step 5: Solve for x
   x = 2,573,431,441/23,823
6. Step 6: Final answer
   x = 108,022.98