Finding the Third Proportional to 50,576 and 76,064

Step by Step Solution

1. Step 1: Write the proportion equation
   50,576 : 76,064 = 76,064 : x
2. Step 2: Convert to fraction form
   50,576/76,064 = 76,064/x
3. Step 3: Cross multiply
   50,576x = 76,064 × 76,064
4. Step 4: Simplify right side
   50,576x = 5,785,732,096
5. Step 5: Solve for x
   x = 5,785,732,096/50,576
6. Step 6: Final answer
   x = 114,396.79