Finding the Third Proportional to 41,732 and 65,582

Step by Step Solution

1. Step 1: Write the proportion equation
   41,732 : 65,582 = 65,582 : x
2. Step 2: Convert to fraction form
   41,732/65,582 = 65,582/x
3. Step 3: Cross multiply
   41,732x = 65,582 × 65,582
4. Step 4: Simplify right side
   41,732x = 4,300,998,724
5. Step 5: Solve for x
   x = 4,300,998,724/41,732
6. Step 6: Final answer
   x = 103,062.37