Finding the Third Proportional to 9,338 and 12,677

Step by Step Solution

1. Step 1: Write the proportion equation
   9,338 : 12,677 = 12,677 : x
2. Step 2: Convert to fraction form
   9,338/12,677 = 12,677/x
3. Step 3: Cross multiply
   9,338x = 12,677 × 12,677
4. Step 4: Simplify right side
   9,338x = 160,706,329
5. Step 5: Solve for x
   x = 160,706,329/9,338
6. Step 6: Final answer
   x = 17,209.93