Finding the Third Proportional to 30,685 and 41,013

Step by Step Solution

1. Step 1: Write the proportion equation
   30,685 : 41,013 = 41,013 : x
2. Step 2: Convert to fraction form
   30,685/41,013 = 41,013/x
3. Step 3: Cross multiply
   30,685x = 41,013 × 41,013
4. Step 4: Simplify right side
   30,685x = 1,682,066,169
5. Step 5: Solve for x
   x = 1,682,066,169/30,685
6. Step 6: Final answer
   x = 54,817.21