Finding the Third Proportional to 48,576 and 72,864

Step by Step Solution

1. Step 1: Write the proportion equation
   48,576 : 72,864 = 72,864 : x
2. Step 2: Convert to fraction form
   48,576/72,864 = 72,864/x
3. Step 3: Cross multiply
   48,576x = 72,864 × 72,864
4. Step 4: Simplify right side
   48,576x = 5,309,162,496
5. Step 5: Solve for x
   x = 5,309,162,496/48,576
6. Step 6: Final answer
   x = 109,296