Finding the Third Proportional to 13,040 and 20,200

Step by Step Solution

1. Step 1: Write the proportion equation
   13,040 : 20,200 = 20,200 : x
2. Step 2: Convert to fraction form
   13,040/20,200 = 20,200/x
3. Step 3: Cross multiply
   13,040x = 20,200 × 20,200
4. Step 4: Simplify right side
   13,040x = 408,040,000
5. Step 5: Solve for x
   x = 408,040,000/13,040
6. Step 6: Final answer
   x = 31,291.41