Finding the Third Proportional to 23,896 and 50,642

Step by Step Solution

1. Step 1: Write the proportion equation
   23,896 : 50,642 = 50,642 : x
2. Step 2: Convert to fraction form
   23,896/50,642 = 50,642/x
3. Step 3: Cross multiply
   23,896x = 50,642 × 50,642
4. Step 4: Simplify right side
   23,896x = 2,564,612,164
5. Step 5: Solve for x
   x = 2,564,612,164/23,896
6. Step 6: Final answer
   x = 107,323.91