Finding the Third Proportional to 13,180 and 19,902

Step by Step Solution

1. Step 1: Write the proportion equation
   13,180 : 19,902 = 19,902 : x
2. Step 2: Convert to fraction form
   13,180/19,902 = 19,902/x
3. Step 3: Cross multiply
   13,180x = 19,902 × 19,902
4. Step 4: Simplify right side
   13,180x = 396,089,604
5. Step 5: Solve for x
   x = 396,089,604/13,180
6. Step 6: Final answer
   x = 30,052.32