Finding the Third Proportional to 41,741 and 85,402

Step by Step Solution

1. Step 1: Write the proportion equation
   41,741 : 85,402 = 85,402 : x
2. Step 2: Convert to fraction form
   41,741/85,402 = 85,402/x
3. Step 3: Cross multiply
   41,741x = 85,402 × 85,402
4. Step 4: Simplify right side
   41,741x = 7,293,501,604
5. Step 5: Solve for x
   x = 7,293,501,604/41,741
6. Step 6: Final answer
   x = 174,732.32