Finding the Third Proportional to 6,543 and 10,145

Step by Step Solution

1. Step 1: Write the proportion equation
   6,543 : 10,145 = 10,145 : x
2. Step 2: Convert to fraction form
   6,543/10,145 = 10,145/x
3. Step 3: Cross multiply
   6,543x = 10,145 × 10,145
4. Step 4: Simplify right side
   6,543x = 102,921,025
5. Step 5: Solve for x
   x = 102,921,025/6,543
6. Step 6: Final answer
   x = 15,729.94