Finding the Third Proportional to 31,708 and 49,286

Step by Step Solution

1. Step 1: Write the proportion equation
   31,708 : 49,286 = 49,286 : x
2. Step 2: Convert to fraction form
   31,708/49,286 = 49,286/x
3. Step 3: Cross multiply
   31,708x = 49,286 × 49,286
4. Step 4: Simplify right side
   31,708x = 2,429,109,796
5. Step 5: Solve for x
   x = 2,429,109,796/31,708
6. Step 6: Final answer
   x = 76,608.74