Finding the Third Proportional to 6,326 and 10,542

Step by Step Solution

1. Step 1: Write the proportion equation
   6,326 : 10,542 = 10,542 : x
2. Step 2: Convert to fraction form
   6,326/10,542 = 10,542/x
3. Step 3: Cross multiply
   6,326x = 10,542 × 10,542
4. Step 4: Simplify right side
   6,326x = 111,133,764
5. Step 5: Solve for x
   x = 111,133,764/6,326
6. Step 6: Final answer
   x = 17,567.78