Finding the Third Proportional to 41,982 and 65,525

Step by Step Solution

1. Step 1: Write the proportion equation
   41,982 : 65,525 = 65,525 : x
2. Step 2: Convert to fraction form
   41,982/65,525 = 65,525/x
3. Step 3: Cross multiply
   41,982x = 65,525 × 65,525
4. Step 4: Simplify right side
   41,982x = 4,293,525,625
5. Step 5: Solve for x
   x = 4,293,525,625/41,982
6. Step 6: Final answer
   x = 102,270.63