Finding the Third Proportional to 6,375 and 10,143

Step by Step Solution

1. Step 1: Write the proportion equation
   6,375 : 10,143 = 10,143 : x
2. Step 2: Convert to fraction form
   6,375/10,143 = 10,143/x
3. Step 3: Cross multiply
   6,375x = 10,143 × 10,143
4. Step 4: Simplify right side
   6,375x = 102,880,449
5. Step 5: Solve for x
   x = 102,880,449/6,375
6. Step 6: Final answer
   x = 16,138.11