Finding the Third Proportional to 11,692 and 17,663

Step by Step Solution

1. Step 1: Write the proportion equation
   11,692 : 17,663 = 17,663 : x
2. Step 2: Convert to fraction form
   11,692/17,663 = 17,663/x
3. Step 3: Cross multiply
   11,692x = 17,663 × 17,663
4. Step 4: Simplify right side
   11,692x = 311,981,569
5. Step 5: Solve for x
   x = 311,981,569/11,692
6. Step 6: Final answer
   x = 26,683.34