Finding the Third Proportional to 23,574 and 50,838

Step by Step Solution

1. Step 1: Write the proportion equation
   23,574 : 50,838 = 50,838 : x
2. Step 2: Convert to fraction form
   23,574/50,838 = 50,838/x
3. Step 3: Cross multiply
   23,574x = 50,838 × 50,838
4. Step 4: Simplify right side
   23,574x = 2,584,502,244
5. Step 5: Solve for x
   x = 2,584,502,244/23,574
6. Step 6: Final answer
   x = 109,633.59