Finding the Third Proportional to 31,706 and 49,162

Step by Step Solution

1. Step 1: Write the proportion equation
   31,706 : 49,162 = 49,162 : x
2. Step 2: Convert to fraction form
   31,706/49,162 = 49,162/x
3. Step 3: Cross multiply
   31,706x = 49,162 × 49,162
4. Step 4: Simplify right side
   31,706x = 2,416,902,244
5. Step 5: Solve for x
   x = 2,416,902,244/31,706
6. Step 6: Final answer
   x = 76,228.54