Finding the Third Proportional to 4,520 and 10,424

Step by Step Solution

1. Step 1: Write the proportion equation
   4,520 : 10,424 = 10,424 : x
2. Step 2: Convert to fraction form
   4,520/10,424 = 10,424/x
3. Step 3: Cross multiply
   4,520x = 10,424 × 10,424
4. Step 4: Simplify right side
   4,520x = 108,659,776
5. Step 5: Solve for x
   x = 108,659,776/4,520
6. Step 6: Final answer
   x = 24,039.77