Finding the Third Proportional to 35,014 and 76,831

Step by Step Solution

1. Step 1: Write the proportion equation
   35,014 : 76,831 = 76,831 : x
2. Step 2: Convert to fraction form
   35,014/76,831 = 76,831/x
3. Step 3: Cross multiply
   35,014x = 76,831 × 76,831
4. Step 4: Simplify right side
   35,014x = 5,903,002,561
5. Step 5: Solve for x
   x = 5,903,002,561/35,014
6. Step 6: Final answer
   x = 168,589.78