Finding the Third Proportional to 31,855 and 49,007

Step by Step Solution

1. Step 1: Write the proportion equation
   31,855 : 49,007 = 49,007 : x
2. Step 2: Convert to fraction form
   31,855/49,007 = 49,007/x
3. Step 3: Cross multiply
   31,855x = 49,007 × 49,007
4. Step 4: Simplify right side
   31,855x = 2,401,686,049
5. Step 5: Solve for x
   x = 2,401,686,049/31,855
6. Step 6: Final answer
   x = 75,394.32