Finding the Third Proportional to 5,730 and 12,504

Step by Step Solution

1. Step 1: Write the proportion equation
   5,730 : 12,504 = 12,504 : x
2. Step 2: Convert to fraction form
   5,730/12,504 = 12,504/x
3. Step 3: Cross multiply
   5,730x = 12,504 × 12,504
4. Step 4: Simplify right side
   5,730x = 156,350,016
5. Step 5: Solve for x
   x = 156,350,016/5,730
6. Step 6: Final answer
   x = 27,286.22