Finding the Third Proportional to 31,682 and 49,051

Step by Step Solution

1. Step 1: Write the proportion equation
   31,682 : 49,051 = 49,051 : x
2. Step 2: Convert to fraction form
   31,682/49,051 = 49,051/x
3. Step 3: Cross multiply
   31,682x = 49,051 × 49,051
4. Step 4: Simplify right side
   31,682x = 2,406,000,601
5. Step 5: Solve for x
   x = 2,406,000,601/31,682
6. Step 6: Final answer
   x = 75,942.19