Finding the Third Proportional to 10,696 and 16,092

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696 : 16,092 = 16,092 : x
2. Step 2: Convert to fraction form
   10,696/16,092 = 16,092/x
3. Step 3: Cross multiply
   10,696x = 16,092 × 16,092
4. Step 4: Simplify right side
   10,696x = 258,952,464
5. Step 5: Solve for x
   x = 258,952,464/10,696
6. Step 6: Final answer
   x = 24,210.22