Finding the Third Proportional to 31,122 and 41,741

Step by Step Solution

1. Step 1: Write the proportion equation
   31,122 : 41,741 = 41,741 : x
2. Step 2: Convert to fraction form
   31,122/41,741 = 41,741/x
3. Step 3: Cross multiply
   31,122x = 41,741 × 41,741
4. Step 4: Simplify right side
   31,122x = 1,742,311,081
5. Step 5: Solve for x
   x = 1,742,311,081/31,122
6. Step 6: Final answer
   x = 55,983.26