Finding the Third Proportional to 50,886 and 74,016

Step by Step Solution

1. Step 1: Write the proportion equation
   50,886 : 74,016 = 74,016 : x
2. Step 2: Convert to fraction form
   50,886/74,016 = 74,016/x
3. Step 3: Cross multiply
   50,886x = 74,016 × 74,016
4. Step 4: Simplify right side
   50,886x = 5,478,368,256
5. Step 5: Solve for x
   x = 5,478,368,256/50,886
6. Step 6: Final answer
   x = 107,659.64