Finding the Third Proportional to 31,796 and 49,211

Step by Step Solution

1. Step 1: Write the proportion equation
   31,796 : 49,211 = 49,211 : x
2. Step 2: Convert to fraction form
   31,796/49,211 = 49,211/x
3. Step 3: Cross multiply
   31,796x = 49,211 × 49,211
4. Step 4: Simplify right side
   31,796x = 2,421,722,521
5. Step 5: Solve for x
   x = 2,421,722,521/31,796
6. Step 6: Final answer
   x = 76,164.38