Finding the Third Proportional to 31,684 and 49,834

Step by Step Solution

1. Step 1: Write the proportion equation
   31,684 : 49,834 = 49,834 : x
2. Step 2: Convert to fraction form
   31,684/49,834 = 49,834/x
3. Step 3: Cross multiply
   31,684x = 49,834 × 49,834
4. Step 4: Simplify right side
   31,684x = 2,483,427,556
5. Step 5: Solve for x
   x = 2,483,427,556/31,684
6. Step 6: Final answer
   x = 78,381.12