Finding the Third Proportional to 8,300 and 17,266

Step by Step Solution

1. Step 1: Write the proportion equation
   8,300 : 17,266 = 17,266 : x
2. Step 2: Convert to fraction form
   8,300/17,266 = 17,266/x
3. Step 3: Cross multiply
   8,300x = 17,266 × 17,266
4. Step 4: Simplify right side
   8,300x = 298,114,756
5. Step 5: Solve for x
   x = 298,114,756/8,300
6. Step 6: Final answer
   x = 35,917.44