Finding the Third Proportional to 6,503 and 10,065

Step by Step Solution

1. Step 1: Write the proportion equation
   6,503 : 10,065 = 10,065 : x
2. Step 2: Convert to fraction form
   6,503/10,065 = 10,065/x
3. Step 3: Cross multiply
   6,503x = 10,065 × 10,065
4. Step 4: Simplify right side
   6,503x = 101,304,225
5. Step 5: Solve for x
   x = 101,304,225/6,503
6. Step 6: Final answer
   x = 15,578.08