Finding the Third Proportional to 8,274 and 17,355

Step by Step Solution

1. Step 1: Write the proportion equation
   8,274 : 17,355 = 17,355 : x
2. Step 2: Convert to fraction form
   8,274/17,355 = 17,355/x
3. Step 3: Cross multiply
   8,274x = 17,355 × 17,355
4. Step 4: Simplify right side
   8,274x = 301,196,025
5. Step 5: Solve for x
   x = 301,196,025/8,274
6. Step 6: Final answer
   x = 36,402.71