Finding the Third Proportional to 36,678 and 54,150

Step by Step Solution

1. Step 1: Write the proportion equation
   36,678 : 54,150 = 54,150 : x
2. Step 2: Convert to fraction form
   36,678/54,150 = 54,150/x
3. Step 3: Cross multiply
   36,678x = 54,150 × 54,150
4. Step 4: Simplify right side
   36,678x = 2,932,222,500
5. Step 5: Solve for x
   x = 2,932,222,500/36,678
6. Step 6: Final answer
   x = 79,944.99