Finding the Third Proportional to 34,676 and 50,780

Step by Step Solution

1. Step 1: Write the proportion equation
   34,676 : 50,780 = 50,780 : x
2. Step 2: Convert to fraction form
   34,676/50,780 = 50,780/x
3. Step 3: Cross multiply
   34,676x = 50,780 × 50,780
4. Step 4: Simplify right side
   34,676x = 2,578,608,400
5. Step 5: Solve for x
   x = 2,578,608,400/34,676
6. Step 6: Final answer
   x = 74,362.91