Finding the Third Proportional to 19,648 and 40,448

Step by Step Solution

1. Step 1: Write the proportion equation
   19,648 : 40,448 = 40,448 : x
2. Step 2: Convert to fraction form
   19,648/40,448 = 40,448/x
3. Step 3: Cross multiply
   19,648x = 40,448 × 40,448
4. Step 4: Simplify right side
   19,648x = 1,636,040,704
5. Step 5: Solve for x
   x = 1,636,040,704/19,648
6. Step 6: Final answer
   x = 83,267.54