Finding the Third Proportional to 34,674 and 50,778

Step by Step Solution

1. Step 1: Write the proportion equation
   34,674 : 50,778 = 50,778 : x
2. Step 2: Convert to fraction form
   34,674/50,778 = 50,778/x
3. Step 3: Cross multiply
   34,674x = 50,778 × 50,778
4. Step 4: Simplify right side
   34,674x = 2,578,405,284
5. Step 5: Solve for x
   x = 2,578,405,284/34,674
6. Step 6: Final answer
   x = 74,361.35