Finding the Third Proportional to 10,048 and 13,424

Step by Step Solution

1. Step 1: Write the proportion equation
   10,048 : 13,424 = 13,424 : x
2. Step 2: Convert to fraction form
   10,048/13,424 = 13,424/x
3. Step 3: Cross multiply
   10,048x = 13,424 × 13,424
4. Step 4: Simplify right side
   10,048x = 180,203,776
5. Step 5: Solve for x
   x = 180,203,776/10,048
6. Step 6: Final answer
   x = 17,934.29