Finding the Third Proportional to 8,099 and 17,161

Step by Step Solution

1. Step 1: Write the proportion equation
   8,099 : 17,161 = 17,161 : x
2. Step 2: Convert to fraction form
   8,099/17,161 = 17,161/x
3. Step 3: Cross multiply
   8,099x = 17,161 × 17,161
4. Step 4: Simplify right side
   8,099x = 294,499,921
5. Step 5: Solve for x
   x = 294,499,921/8,099
6. Step 6: Final answer
   x = 36,362.50