Finding the Third Proportional to 30,858 and 67,116

Step by Step Solution

1. Step 1: Write the proportion equation
   30,858 : 67,116 = 67,116 : x
2. Step 2: Convert to fraction form
   30,858/67,116 = 67,116/x
3. Step 3: Cross multiply
   30,858x = 67,116 × 67,116
4. Step 4: Simplify right side
   30,858x = 4,504,557,456
5. Step 5: Solve for x
   x = 4,504,557,456/30,858
6. Step 6: Final answer
   x = 145,976.97