Finding the Third Proportional to 19,638 and 40,410

Step by Step Solution

1. Step 1: Write the proportion equation
   19,638 : 40,410 = 40,410 : x
2. Step 2: Convert to fraction form
   19,638/40,410 = 40,410/x
3. Step 3: Cross multiply
   19,638x = 40,410 × 40,410
4. Step 4: Simplify right side
   19,638x = 1,632,968,100
5. Step 5: Solve for x
   x = 1,632,968,100/19,638
6. Step 6: Final answer
   x = 83,153.48