Finding the Third Proportional to 23,021 and 49,665

Step by Step Solution

1. Step 1: Write the proportion equation
   23,021 : 49,665 = 49,665 : x
2. Step 2: Convert to fraction form
   23,021/49,665 = 49,665/x
3. Step 3: Cross multiply
   23,021x = 49,665 × 49,665
4. Step 4: Simplify right side
   23,021x = 2,466,612,225
5. Step 5: Solve for x
   x = 2,466,612,225/23,021
6. Step 6: Final answer
   x = 107,146.18