Finding the Third Proportional to 23,206 and 49,690

Step by Step Solution

1. Step 1: Write the proportion equation
   23,206 : 49,690 = 49,690 : x
2. Step 2: Convert to fraction form
   23,206/49,690 = 49,690/x
3. Step 3: Cross multiply
   23,206x = 49,690 × 49,690
4. Step 4: Simplify right side
   23,206x = 2,469,096,100
5. Step 5: Solve for x
   x = 2,469,096,100/23,206
6. Step 6: Final answer
   x = 106,399.04