Finding the Third Proportional to 31,699 and 49,057

Step by Step Solution

1. Step 1: Write the proportion equation
   31,699 : 49,057 = 49,057 : x
2. Step 2: Convert to fraction form
   31,699/49,057 = 49,057/x
3. Step 3: Cross multiply
   31,699x = 49,057 × 49,057
4. Step 4: Simplify right side
   31,699x = 2,406,589,249
5. Step 5: Solve for x
   x = 2,406,589,249/31,699
6. Step 6: Final answer
   x = 75,920.04