Finding the Third Proportional to 34,892 and 49,830

Step by Step Solution

1. Step 1: Write the proportion equation
   34,892 : 49,830 = 49,830 : x
2. Step 2: Convert to fraction form
   34,892/49,830 = 49,830/x
3. Step 3: Cross multiply
   34,892x = 49,830 × 49,830
4. Step 4: Simplify right side
   34,892x = 2,483,028,900
5. Step 5: Solve for x
   x = 2,483,028,900/34,892
6. Step 6: Final answer
   x = 71,163.27