Finding the Third Proportional to 40,509 and 83,610

Step by Step Solution

1. Step 1: Write the proportion equation
   40,509 : 83,610 = 83,610 : x
2. Step 2: Convert to fraction form
   40,509/83,610 = 83,610/x
3. Step 3: Cross multiply
   40,509x = 83,610 × 83,610
4. Step 4: Simplify right side
   40,509x = 6,990,632,100
5. Step 5: Solve for x
   x = 6,990,632,100/40,509
6. Step 6: Final answer
   x = 172,569.85