Finding the Third Proportional to 5,287 and 12,503

Step by Step Solution

1. Step 1: Write the proportion equation
   5,287 : 12,503 = 12,503 : x
2. Step 2: Convert to fraction form
   5,287/12,503 = 12,503/x
3. Step 3: Cross multiply
   5,287x = 12,503 × 12,503
4. Step 4: Simplify right side
   5,287x = 156,325,009
5. Step 5: Solve for x
   x = 156,325,009/5,287
6. Step 6: Final answer
   x = 29,567.81