Finding the Third Proportional to 10,096 and 18,656

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 18,656 = 18,656 : x
2. Step 2: Convert to fraction form
   10,096/18,656 = 18,656/x
3. Step 3: Cross multiply
   10,096x = 18,656 × 18,656
4. Step 4: Simplify right side
   10,096x = 348,046,336
5. Step 5: Solve for x
   x = 348,046,336/10,096
6. Step 6: Final answer
   x = 34,473.69