Finding the Third Proportional to 35,164 and 76,568

Step by Step Solution

1. Step 1: Write the proportion equation
   35,164 : 76,568 = 76,568 : x
2. Step 2: Convert to fraction form
   35,164/76,568 = 76,568/x
3. Step 3: Cross multiply
   35,164x = 76,568 × 76,568
4. Step 4: Simplify right side
   35,164x = 5,862,658,624
5. Step 5: Solve for x
   x = 5,862,658,624/35,164
6. Step 6: Final answer
   x = 166,723.31