Finding the Third Proportional to 6,456.09 and 14,140.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.09 : 14,140.69 = 14,140.69 : x
2. Step 2: Convert to fraction form
   6,456.09/14,140.69 = 14,140.69/x
3. Step 3: Cross multiply
   6,456.09x = 14,140.69 × 14,140.69
4. Step 4: Simplify right side
   6,456.09x = 199,959,042.97
5. Step 5: Solve for x
   x = 199,959,042.97/6,456.09
6. Step 6: Final answer
   x = 30,972.14