Finding the Third Proportional to 23,013 and 49,647.38

Step by Step Solution

1. Step 1: Write the proportion equation
   23,013 : 49,647.38 = 49,647.38 : x
2. Step 2: Convert to fraction form
   23,013/49,647.38 = 49,647.38/x
3. Step 3: Cross multiply
   23,013x = 49,647.38 × 49,647.38
4. Step 4: Simplify right side
   23,013x = 2,464,861,844.39
5. Step 5: Solve for x
   x = 2,464,861,844.39/23,013
6. Step 6: Final answer
   x = 107,107.37