Finding the Third Proportional to 40,014 and 74,952

Step by Step Solution

1. Step 1: Write the proportion equation
   40,014 : 74,952 = 74,952 : x
2. Step 2: Convert to fraction form
   40,014/74,952 = 74,952/x
3. Step 3: Cross multiply
   40,014x = 74,952 × 74,952
4. Step 4: Simplify right side
   40,014x = 5,617,802,304
5. Step 5: Solve for x
   x = 5,617,802,304/40,014
6. Step 6: Final answer
   x = 140,395.92