Finding the Third Proportional to 31,434 and 49,055

Step by Step Solution

1. Step 1: Write the proportion equation
   31,434 : 49,055 = 49,055 : x
2. Step 2: Convert to fraction form
   31,434/49,055 = 49,055/x
3. Step 3: Cross multiply
   31,434x = 49,055 × 49,055
4. Step 4: Simplify right side
   31,434x = 2,406,393,025
5. Step 5: Solve for x
   x = 2,406,393,025/31,434
6. Step 6: Final answer
   x = 76,553.83