Finding the Third Proportional to 36,920 and 76,018

Step by Step Solution

1. Step 1: Write the proportion equation
   36,920 : 76,018 = 76,018 : x
2. Step 2: Convert to fraction form
   36,920/76,018 = 76,018/x
3. Step 3: Cross multiply
   36,920x = 76,018 × 76,018
4. Step 4: Simplify right side
   36,920x = 5,778,736,324
5. Step 5: Solve for x
   x = 5,778,736,324/36,920
6. Step 6: Final answer
   x = 156,520.49