Finding the Third Proportional to 9,209 and 19,648

Step by Step Solution

1. Step 1: Write the proportion equation
   9,209 : 19,648 = 19,648 : x
2. Step 2: Convert to fraction form
   9,209/19,648 = 19,648/x
3. Step 3: Cross multiply
   9,209x = 19,648 × 19,648
4. Step 4: Simplify right side
   9,209x = 386,043,904
5. Step 5: Solve for x
   x = 386,043,904/9,209
6. Step 6: Final answer
   x = 41,920.28