Finding the Third Proportional to 6,378 and 10,095

Step by Step Solution

1. Step 1: Write the proportion equation
   6,378 : 10,095 = 10,095 : x
2. Step 2: Convert to fraction form
   6,378/10,095 = 10,095/x
3. Step 3: Cross multiply
   6,378x = 10,095 × 10,095
4. Step 4: Simplify right side
   6,378x = 101,909,025
5. Step 5: Solve for x
   x = 101,909,025/6,378
6. Step 6: Final answer
   x = 15,978.21