Finding the Third Proportional to 40,512 and 83,616

Step by Step Solution

1. Step 1: Write the proportion equation
   40,512 : 83,616 = 83,616 : x
2. Step 2: Convert to fraction form
   40,512/83,616 = 83,616/x
3. Step 3: Cross multiply
   40,512x = 83,616 × 83,616
4. Step 4: Simplify right side
   40,512x = 6,991,635,456
5. Step 5: Solve for x
   x = 6,991,635,456/40,512
6. Step 6: Final answer
   x = 172,581.84