Finding the Third Proportional to 36,568 and 76,010

Step by Step Solution

1. Step 1: Write the proportion equation
   36,568 : 76,010 = 76,010 : x
2. Step 2: Convert to fraction form
   36,568/76,010 = 76,010/x
3. Step 3: Cross multiply
   36,568x = 76,010 × 76,010
4. Step 4: Simplify right side
   36,568x = 5,777,520,100
5. Step 5: Solve for x
   x = 5,777,520,100/36,568
6. Step 6: Final answer
   x = 157,993.88