Finding the Third Proportional to 31,040 and 41,727

Step by Step Solution

1. Step 1: Write the proportion equation
   31,040 : 41,727 = 41,727 : x
2. Step 2: Convert to fraction form
   31,040/41,727 = 41,727/x
3. Step 3: Cross multiply
   31,040x = 41,727 × 41,727
4. Step 4: Simplify right side
   31,040x = 1,741,142,529
5. Step 5: Solve for x
   x = 1,741,142,529/31,040
6. Step 6: Final answer
   x = 56,093.51