Finding the Third Proportional to 30,691 and 41,661

Step by Step Solution

1. Step 1: Write the proportion equation
   30,691 : 41,661 = 41,661 : x
2. Step 2: Convert to fraction form
   30,691/41,661 = 41,661/x
3. Step 3: Cross multiply
   30,691x = 41,661 × 41,661
4. Step 4: Simplify right side
   30,691x = 1,735,638,921
5. Step 5: Solve for x
   x = 1,735,638,921/30,691
6. Step 6: Final answer
   x = 56,552.05