Finding the Third Proportional to 40,510 and 83,612

Step by Step Solution

1. Step 1: Write the proportion equation
   40,510 : 83,612 = 83,612 : x
2. Step 2: Convert to fraction form
   40,510/83,612 = 83,612/x
3. Step 3: Cross multiply
   40,510x = 83,612 × 83,612
4. Step 4: Simplify right side
   40,510x = 6,990,966,544
5. Step 5: Solve for x
   x = 6,990,966,544/40,510
6. Step 6: Final answer
   x = 172,573.85