Finding the Third Proportional to 13,180 and 20,099

Step by Step Solution

1. Step 1: Write the proportion equation
   13,180 : 20,099 = 20,099 : x
2. Step 2: Convert to fraction form
   13,180/20,099 = 20,099/x
3. Step 3: Cross multiply
   13,180x = 20,099 × 20,099
4. Step 4: Simplify right side
   13,180x = 403,969,801
5. Step 5: Solve for x
   x = 403,969,801/13,180
6. Step 6: Final answer
   x = 30,650.21