Finding the Third Proportional to 37,560 and 54,576

Step by Step Solution

1. Step 1: Write the proportion equation
   37,560 : 54,576 = 54,576 : x
2. Step 2: Convert to fraction form
   37,560/54,576 = 54,576/x
3. Step 3: Cross multiply
   37,560x = 54,576 × 54,576
4. Step 4: Simplify right side
   37,560x = 2,978,539,776
5. Step 5: Solve for x
   x = 2,978,539,776/37,560
6. Step 6: Final answer
   x = 79,300.85