Finding the Third Proportional to 8,162 and 17,092

Step by Step Solution

1. Step 1: Write the proportion equation
   8,162 : 17,092 = 17,092 : x
2. Step 2: Convert to fraction form
   8,162/17,092 = 17,092/x
3. Step 3: Cross multiply
   8,162x = 17,092 × 17,092
4. Step 4: Simplify right side
   8,162x = 292,136,464
5. Step 5: Solve for x
   x = 292,136,464/8,162
6. Step 6: Final answer
   x = 35,792.26