Finding the Third Proportional to 8,096 and 17,316

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096 : 17,316 = 17,316 : x
2. Step 2: Convert to fraction form
   8,096/17,316 = 17,316/x
3. Step 3: Cross multiply
   8,096x = 17,316 × 17,316
4. Step 4: Simplify right side
   8,096x = 299,843,856
5. Step 5: Solve for x
   x = 299,843,856/8,096
6. Step 6: Final answer
   x = 37,036.05