Finding the Third Proportional to 23,114 and 49,790

Step by Step Solution

1. Step 1: Write the proportion equation
   23,114 : 49,790 = 49,790 : x
2. Step 2: Convert to fraction form
   23,114/49,790 = 49,790/x
3. Step 3: Cross multiply
   23,114x = 49,790 × 49,790
4. Step 4: Simplify right side
   23,114x = 2,479,044,100
5. Step 5: Solve for x
   x = 2,479,044,100/23,114
6. Step 6: Final answer
   x = 107,252.92