Finding the Third Proportional to 31,168 and 41,770

Step by Step Solution

1. Step 1: Write the proportion equation
   31,168 : 41,770 = 41,770 : x
2. Step 2: Convert to fraction form
   31,168/41,770 = 41,770/x
3. Step 3: Cross multiply
   31,168x = 41,770 × 41,770
4. Step 4: Simplify right side
   31,168x = 1,744,732,900
5. Step 5: Solve for x
   x = 1,744,732,900/31,168
6. Step 6: Final answer
   x = 55,978.34