Finding the Third Proportional to 12,514 and 19,648

Step by Step Solution

1. Step 1: Write the proportion equation
   12,514 : 19,648 = 19,648 : x
2. Step 2: Convert to fraction form
   12,514/19,648 = 19,648/x
3. Step 3: Cross multiply
   12,514x = 19,648 × 19,648
4. Step 4: Simplify right side
   12,514x = 386,043,904
5. Step 5: Solve for x
   x = 386,043,904/12,514
6. Step 6: Final answer
   x = 30,848.96