Finding the Third Proportional to 8,280 and 10,503

Step by Step Solution

1. Step 1: Write the proportion equation
   8,280 : 10,503 = 10,503 : x
2. Step 2: Convert to fraction form
   8,280/10,503 = 10,503/x
3. Step 3: Cross multiply
   8,280x = 10,503 × 10,503
4. Step 4: Simplify right side
   8,280x = 110,313,009
5. Step 5: Solve for x
   x = 110,313,009/8,280
6. Step 6: Final answer
   x = 13,322.83