Finding the Third Proportional to 31,853 and 49,004

Step by Step Solution

1. Step 1: Write the proportion equation
   31,853 : 49,004 = 49,004 : x
2. Step 2: Convert to fraction form
   31,853/49,004 = 49,004/x
3. Step 3: Cross multiply
   31,853x = 49,004 × 49,004
4. Step 4: Simplify right side
   31,853x = 2,401,392,016
5. Step 5: Solve for x
   x = 2,401,392,016/31,853
6. Step 6: Final answer
   x = 75,389.82