Finding the Third Proportional to 12,384 and 19,424

Step by Step Solution

1. Step 1: Write the proportion equation
   12,384 : 19,424 = 19,424 : x
2. Step 2: Convert to fraction form
   12,384/19,424 = 19,424/x
3. Step 3: Cross multiply
   12,384x = 19,424 × 19,424
4. Step 4: Simplify right side
   12,384x = 377,291,776
5. Step 5: Solve for x
   x = 377,291,776/12,384
6. Step 6: Final answer
   x = 30,466.07