Finding the Third Proportional to 11,424 and 19,648

Step by Step Solution

1. Step 1: Write the proportion equation
   11,424 : 19,648 = 19,648 : x
2. Step 2: Convert to fraction form
   11,424/19,648 = 19,648/x
3. Step 3: Cross multiply
   11,424x = 19,648 × 19,648
4. Step 4: Simplify right side
   11,424x = 386,043,904
5. Step 5: Solve for x
   x = 386,043,904/11,424
6. Step 6: Final answer
   x = 33,792.36