Finding the Third Proportional to 41,802 and 81,510

Step by Step Solution

1. Step 1: Write the proportion equation
   41,802 : 81,510 = 81,510 : x
2. Step 2: Convert to fraction form
   41,802/81,510 = 81,510/x
3. Step 3: Cross multiply
   41,802x = 81,510 × 81,510
4. Step 4: Simplify right side
   41,802x = 6,643,880,100
5. Step 5: Solve for x
   x = 6,643,880,100/41,802
6. Step 6: Final answer
   x = 158,936.90