Finding the Third Proportional to 23,196 and 49,974

Step by Step Solution

1. Step 1: Write the proportion equation
   23,196 : 49,974 = 49,974 : x
2. Step 2: Convert to fraction form
   23,196/49,974 = 49,974/x
3. Step 3: Cross multiply
   23,196x = 49,974 × 49,974
4. Step 4: Simplify right side
   23,196x = 2,497,400,676
5. Step 5: Solve for x
   x = 2,497,400,676/23,196
6. Step 6: Final answer
   x = 107,665.14