Finding the Third Proportional to 34,830 and 49,734

Step by Step Solution

1. Step 1: Write the proportion equation
   34,830 : 49,734 = 49,734 : x
2. Step 2: Convert to fraction form
   34,830/49,734 = 49,734/x
3. Step 3: Cross multiply
   34,830x = 49,734 × 49,734
4. Step 4: Simplify right side
   34,830x = 2,473,470,756
5. Step 5: Solve for x
   x = 2,473,470,756/34,830
6. Step 6: Final answer
   x = 71,015.53