Finding the Third Proportional to 41,510 and 59,306

Step by Step Solution

1. Step 1: Write the proportion equation
   41,510 : 59,306 = 59,306 : x
2. Step 2: Convert to fraction form
   41,510/59,306 = 59,306/x
3. Step 3: Cross multiply
   41,510x = 59,306 × 59,306
4. Step 4: Simplify right side
   41,510x = 3,517,201,636
5. Step 5: Solve for x
   x = 3,517,201,636/41,510
6. Step 6: Final answer
   x = 84,731.43