Finding the Third Proportional to 10,696 and 16,530

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696 : 16,530 = 16,530 : x
2. Step 2: Convert to fraction form
   10,696/16,530 = 16,530/x
3. Step 3: Cross multiply
   10,696x = 16,530 × 16,530
4. Step 4: Simplify right side
   10,696x = 273,240,900
5. Step 5: Solve for x
   x = 273,240,900/10,696
6. Step 6: Final answer
   x = 25,546.08