Finding the Third Proportional to 10,696 and 17,178

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696 : 17,178 = 17,178 : x
2. Step 2: Convert to fraction form
   10,696/17,178 = 17,178/x
3. Step 3: Cross multiply
   10,696x = 17,178 × 17,178
4. Step 4: Simplify right side
   10,696x = 295,083,684
5. Step 5: Solve for x
   x = 295,083,684/10,696
6. Step 6: Final answer
   x = 27,588.23