Finding the Third Proportional to 6,503 and 14,145

Step by Step Solution

1. Step 1: Write the proportion equation
   6,503 : 14,145 = 14,145 : x
2. Step 2: Convert to fraction form
   6,503/14,145 = 14,145/x
3. Step 3: Cross multiply
   6,503x = 14,145 × 14,145
4. Step 4: Simplify right side
   6,503x = 200,081,025
5. Step 5: Solve for x
   x = 200,081,025/6,503
6. Step 6: Final answer
   x = 30,767.50