Finding the Third Proportional to 23,193 and 49,662

Step by Step Solution

1. Step 1: Write the proportion equation
   23,193 : 49,662 = 49,662 : x
2. Step 2: Convert to fraction form
   23,193/49,662 = 49,662/x
3. Step 3: Cross multiply
   23,193x = 49,662 × 49,662
4. Step 4: Simplify right side
   23,193x = 2,466,314,244
5. Step 5: Solve for x
   x = 2,466,314,244/23,193
6. Step 6: Final answer
   x = 106,338.73