Finding the Third Proportional to 11,878 and 17,839

Step by Step Solution

1. Step 1: Write the proportion equation
   11,878 : 17,839 = 17,839 : x
2. Step 2: Convert to fraction form
   11,878/17,839 = 17,839/x
3. Step 3: Cross multiply
   11,878x = 17,839 × 17,839
4. Step 4: Simplify right side
   11,878x = 318,229,921
5. Step 5: Solve for x
   x = 318,229,921/11,878
6. Step 6: Final answer
   x = 26,791.54