Finding the Third Proportional to 30,264 and 50,016

Step by Step Solution

1. Step 1: Write the proportion equation
   30,264 : 50,016 = 50,016 : x
2. Step 2: Convert to fraction form
   30,264/50,016 = 50,016/x
3. Step 3: Cross multiply
   30,264x = 50,016 × 50,016
4. Step 4: Simplify right side
   30,264x = 2,501,600,256
5. Step 5: Solve for x
   x = 2,501,600,256/30,264
6. Step 6: Final answer
   x = 82,659.27