Finding the Third Proportional to 31,856 and 49,006

Step by Step Solution

1. Step 1: Write the proportion equation
   31,856 : 49,006 = 49,006 : x
2. Step 2: Convert to fraction form
   31,856/49,006 = 49,006/x
3. Step 3: Cross multiply
   31,856x = 49,006 × 49,006
4. Step 4: Simplify right side
   31,856x = 2,401,588,036
5. Step 5: Solve for x
   x = 2,401,588,036/31,856
6. Step 6: Final answer
   x = 75,388.88