Finding the Third Proportional to 30,414 and 50,478

Step by Step Solution

1. Step 1: Write the proportion equation
   30,414 : 50,478 = 50,478 : x
2. Step 2: Convert to fraction form
   30,414/50,478 = 50,478/x
3. Step 3: Cross multiply
   30,414x = 50,478 × 50,478
4. Step 4: Simplify right side
   30,414x = 2,548,028,484
5. Step 5: Solve for x
   x = 2,548,028,484/30,414
6. Step 6: Final answer
   x = 83,778.14