Finding the Third Proportional to 36,864 and 56,832

Step by Step Solution

1. Step 1: Write the proportion equation
   36,864 : 56,832 = 56,832 : x
2. Step 2: Convert to fraction form
   36,864/56,832 = 56,832/x
3. Step 3: Cross multiply
   36,864x = 56,832 × 56,832
4. Step 4: Simplify right side
   36,864x = 3,229,876,224
5. Step 5: Solve for x
   x = 3,229,876,224/36,864
6. Step 6: Final answer
   x = 87,616