Finding the Third Proportional to 41,739 and 85,398

Step by Step Solution

1. Step 1: Write the proportion equation
   41,739 : 85,398 = 85,398 : x
2. Step 2: Convert to fraction form
   41,739/85,398 = 85,398/x
3. Step 3: Cross multiply
   41,739x = 85,398 × 85,398
4. Step 4: Simplify right side
   41,739x = 7,292,818,404
5. Step 5: Solve for x
   x = 7,292,818,404/41,739
6. Step 6: Final answer
   x = 174,724.32