Finding the Third Proportional to 31,109 and 41,914

Step by Step Solution

1. Step 1: Write the proportion equation
   31,109 : 41,914 = 41,914 : x
2. Step 2: Convert to fraction form
   31,109/41,914 = 41,914/x
3. Step 3: Cross multiply
   31,109x = 41,914 × 41,914
4. Step 4: Simplify right side
   31,109x = 1,756,783,396
5. Step 5: Solve for x
   x = 1,756,783,396/31,109
6. Step 6: Final answer
   x = 56,471.87