Finding the Third Proportional to 55,296 and 72,576

Step by Step Solution

1. Step 1: Write the proportion equation
   55,296 : 72,576 = 72,576 : x
2. Step 2: Convert to fraction form
   55,296/72,576 = 72,576/x
3. Step 3: Cross multiply
   55,296x = 72,576 × 72,576
4. Step 4: Simplify right side
   55,296x = 5,267,275,776
5. Step 5: Solve for x
   x = 5,267,275,776/55,296
6. Step 6: Final answer
   x = 95,256