Finding the Third Proportional to 10,696 and 17,644

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696 : 17,644 = 17,644 : x
2. Step 2: Convert to fraction form
   10,696/17,644 = 17,644/x
3. Step 3: Cross multiply
   10,696x = 17,644 × 17,644
4. Step 4: Simplify right side
   10,696x = 311,310,736
5. Step 5: Solve for x
   x = 311,310,736/10,696
6. Step 6: Final answer
   x = 29,105.34