Finding the Third Proportional to 36,945 and 76,518

Step by Step Solution

1. Step 1: Write the proportion equation
   36,945 : 76,518 = 76,518 : x
2. Step 2: Convert to fraction form
   36,945/76,518 = 76,518/x
3. Step 3: Cross multiply
   36,945x = 76,518 × 76,518
4. Step 4: Simplify right side
   36,945x = 5,855,004,324
5. Step 5: Solve for x
   x = 5,855,004,324/36,945
6. Step 6: Final answer
   x = 158,478.94