Finding the Third Proportional to 23,022 and 50,435

Step by Step Solution

1. Step 1: Write the proportion equation
   23,022 : 50,435 = 50,435 : x
2. Step 2: Convert to fraction form
   23,022/50,435 = 50,435/x
3. Step 3: Cross multiply
   23,022x = 50,435 × 50,435
4. Step 4: Simplify right side
   23,022x = 2,543,689,225
5. Step 5: Solve for x
   x = 2,543,689,225/23,022
6. Step 6: Final answer
   x = 110,489.50