Finding the Third Proportional to 7,544 and 10,424

Step by Step Solution

1. Step 1: Write the proportion equation
   7,544 : 10,424 = 10,424 : x
2. Step 2: Convert to fraction form
   7,544/10,424 = 10,424/x
3. Step 3: Cross multiply
   7,544x = 10,424 × 10,424
4. Step 4: Simplify right side
   7,544x = 108,659,776
5. Step 5: Solve for x
   x = 108,659,776/7,544
6. Step 6: Final answer
   x = 14,403.47