Finding the Third Proportional to 31,106 and 41,910

Step by Step Solution

1. Step 1: Write the proportion equation
   31,106 : 41,910 = 41,910 : x
2. Step 2: Convert to fraction form
   31,106/41,910 = 41,910/x
3. Step 3: Cross multiply
   31,106x = 41,910 × 41,910
4. Step 4: Simplify right side
   31,106x = 1,756,448,100
5. Step 5: Solve for x
   x = 1,756,448,100/31,106
6. Step 6: Final answer
   x = 56,466.54