Finding the Third Proportional to 34,540 and 50,677

Step by Step Solution

1. Step 1: Write the proportion equation
   34,540 : 50,677 = 50,677 : x
2. Step 2: Convert to fraction form
   34,540/50,677 = 50,677/x
3. Step 3: Cross multiply
   34,540x = 50,677 × 50,677
4. Step 4: Simplify right side
   34,540x = 2,568,158,329
5. Step 5: Solve for x
   x = 2,568,158,329/34,540
6. Step 6: Final answer
   x = 74,353.17