Finding the Third Proportional to 30,078 and 34,452

Step by Step Solution

1. Step 1: Write the proportion equation
   30,078 : 34,452 = 34,452 : x
2. Step 2: Convert to fraction form
   30,078/34,452 = 34,452/x
3. Step 3: Cross multiply
   30,078x = 34,452 × 34,452
4. Step 4: Simplify right side
   30,078x = 1,186,940,304
5. Step 5: Solve for x
   x = 1,186,940,304/30,078
6. Step 6: Final answer
   x = 39,462.08