Finding the Third Proportional to 37,920 and 60,576

Step by Step Solution

1. Step 1: Write the proportion equation
   37,920 : 60,576 = 60,576 : x
2. Step 2: Convert to fraction form
   37,920/60,576 = 60,576/x
3. Step 3: Cross multiply
   37,920x = 60,576 × 60,576
4. Step 4: Simplify right side
   37,920x = 3,669,451,776
5. Step 5: Solve for x
   x = 3,669,451,776/37,920
6. Step 6: Final answer
   x = 96,768.24