Finding the Third Proportional to 36,864 and 57,024

Step by Step Solution

1. Step 1: Write the proportion equation
   36,864 : 57,024 = 57,024 : x
2. Step 2: Convert to fraction form
   36,864/57,024 = 57,024/x
3. Step 3: Cross multiply
   36,864x = 57,024 × 57,024
4. Step 4: Simplify right side
   36,864x = 3,251,736,576
5. Step 5: Solve for x
   x = 3,251,736,576/36,864
6. Step 6: Final answer
   x = 88,209