Finding the Third Proportional to 8,280 and 17,410

Step by Step Solution

1. Step 1: Write the proportion equation
   8,280 : 17,410 = 17,410 : x
2. Step 2: Convert to fraction form
   8,280/17,410 = 17,410/x
3. Step 3: Cross multiply
   8,280x = 17,410 × 17,410
4. Step 4: Simplify right side
   8,280x = 303,108,100
5. Step 5: Solve for x
   x = 303,108,100/8,280
6. Step 6: Final answer
   x = 36,607.26