Finding the Third Proportional to 50,400 and 75,024

Step by Step Solution

1. Step 1: Write the proportion equation
   50,400 : 75,024 = 75,024 : x
2. Step 2: Convert to fraction form
   50,400/75,024 = 75,024/x
3. Step 3: Cross multiply
   50,400x = 75,024 × 75,024
4. Step 4: Simplify right side
   50,400x = 5,628,600,576
5. Step 5: Solve for x
   x = 5,628,600,576/50,400
6. Step 6: Final answer
   x = 111,678.58