Finding the Third Proportional to 30,434 and 50,307

Step by Step Solution

1. Step 1: Write the proportion equation
   30,434 : 50,307 = 50,307 : x
2. Step 2: Convert to fraction form
   30,434/50,307 = 50,307/x
3. Step 3: Cross multiply
   30,434x = 50,307 × 50,307
4. Step 4: Simplify right side
   30,434x = 2,530,794,249
5. Step 5: Solve for x
   x = 2,530,794,249/30,434
6. Step 6: Final answer
   x = 83,156.81