Finding the Third Proportional to 48,384 and 72,576

Step by Step Solution

1. Step 1: Write the proportion equation
   48,384 : 72,576 = 72,576 : x
2. Step 2: Convert to fraction form
   48,384/72,576 = 72,576/x
3. Step 3: Cross multiply
   48,384x = 72,576 × 72,576
4. Step 4: Simplify right side
   48,384x = 5,267,275,776
5. Step 5: Solve for x
   x = 5,267,275,776/48,384
6. Step 6: Final answer
   x = 108,864