Finding the Third Proportional to 10,224 and 14,504

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 14,504 = 14,504 : x
2. Step 2: Convert to fraction form
   10,224/14,504 = 14,504/x
3. Step 3: Cross multiply
   10,224x = 14,504 × 14,504
4. Step 4: Simplify right side
   10,224x = 210,366,016
5. Step 5: Solve for x
   x = 210,366,016/10,224
6. Step 6: Final answer
   x = 20,575.71