Finding the Third Proportional to 11,839 and 17,677

Step by Step Solution

1. Step 1: Write the proportion equation
   11,839 : 17,677 = 17,677 : x
2. Step 2: Convert to fraction form
   11,839/17,677 = 17,677/x
3. Step 3: Cross multiply
   11,839x = 17,677 × 17,677
4. Step 4: Simplify right side
   11,839x = 312,476,329
5. Step 5: Solve for x
   x = 312,476,329/11,839
6. Step 6: Final answer
   x = 26,393.81