Finding the Third Proportional to 36,864 and 56,370.38

Step by Step Solution

1. Step 1: Write the proportion equation
   36,864 : 56,370.38 = 56,370.38 : x
2. Step 2: Convert to fraction form
   36,864/56,370.38 = 56,370.38/x
3. Step 3: Cross multiply
   36,864x = 56,370.38 × 56,370.38
4. Step 4: Simplify right side
   36,864x = 3,177,619,177.64
5. Step 5: Solve for x
   x = 3,177,619,177.64/36,864
6. Step 6: Final answer
   x = 86,198.44