Finding the Third Proportional to 31,162 and 41,991

Step by Step Solution

1. Step 1: Write the proportion equation
   31,162 : 41,991 = 41,991 : x
2. Step 2: Convert to fraction form
   31,162/41,991 = 41,991/x
3. Step 3: Cross multiply
   31,162x = 41,991 × 41,991
4. Step 4: Simplify right side
   31,162x = 1,763,244,081
5. Step 5: Solve for x
   x = 1,763,244,081/31,162
6. Step 6: Final answer
   x = 56,583.15