Finding the Third Proportional to 41,984 and 65,530

Step by Step Solution

1. Step 1: Write the proportion equation
   41,984 : 65,530 = 65,530 : x
2. Step 2: Convert to fraction form
   41,984/65,530 = 65,530/x
3. Step 3: Cross multiply
   41,984x = 65,530 × 65,530
4. Step 4: Simplify right side
   41,984x = 4,294,180,900
5. Step 5: Solve for x
   x = 4,294,180,900/41,984
6. Step 6: Final answer
   x = 102,281.37