Finding the Third Proportional to 13,180 and 19,898

Step by Step Solution

1. Step 1: Write the proportion equation
   13,180 : 19,898 = 19,898 : x
2. Step 2: Convert to fraction form
   13,180/19,898 = 19,898/x
3. Step 3: Cross multiply
   13,180x = 19,898 × 19,898
4. Step 4: Simplify right side
   13,180x = 395,930,404
5. Step 5: Solve for x
   x = 395,930,404/13,180
6. Step 6: Final answer
   x = 30,040.24