Finding the Third Proportional to 12,320 and 17,504

Step by Step Solution

1. Step 1: Write the proportion equation
   12,320 : 17,504 = 17,504 : x
2. Step 2: Convert to fraction form
   12,320/17,504 = 17,504/x
3. Step 3: Cross multiply
   12,320x = 17,504 × 17,504
4. Step 4: Simplify right side
   12,320x = 306,390,016
5. Step 5: Solve for x
   x = 306,390,016/12,320
6. Step 6: Final answer
   x = 24,869.32