Finding the Third Proportional to 35,914 and 73,418

Step by Step Solution

1. Step 1: Write the proportion equation
   35,914 : 73,418 = 73,418 : x
2. Step 2: Convert to fraction form
   35,914/73,418 = 73,418/x
3. Step 3: Cross multiply
   35,914x = 73,418 × 73,418
4. Step 4: Simplify right side
   35,914x = 5,390,202,724
5. Step 5: Solve for x
   x = 5,390,202,724/35,914
6. Step 6: Final answer
   x = 150,086.39