Finding the Third Proportional to 9,180 and 13,338

Step by Step Solution

1. Step 1: Write the proportion equation
   9,180 : 13,338 = 13,338 : x
2. Step 2: Convert to fraction form
   9,180/13,338 = 13,338/x
3. Step 3: Cross multiply
   9,180x = 13,338 × 13,338
4. Step 4: Simplify right side
   9,180x = 177,902,244
5. Step 5: Solve for x
   x = 177,902,244/9,180
6. Step 6: Final answer
   x = 19,379.33