Finding the Third Proportional to 9,156 and 12,694

Step by Step Solution

1. Step 1: Write the proportion equation
   9,156 : 12,694 = 12,694 : x
2. Step 2: Convert to fraction form
   9,156/12,694 = 12,694/x
3. Step 3: Cross multiply
   9,156x = 12,694 × 12,694
4. Step 4: Simplify right side
   9,156x = 161,137,636
5. Step 5: Solve for x
   x = 161,137,636/9,156
6. Step 6: Final answer
   x = 17,599.13