Finding the Third Proportional to 6,454.69 and 14,147.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,454.69 : 14,147.16 = 14,147.16 : x
2. Step 2: Convert to fraction form
   6,454.69/14,147.16 = 14,147.16/x
3. Step 3: Cross multiply
   6,454.69x = 14,147.16 × 14,147.16
4. Step 4: Simplify right side
   6,454.69x = 200,142,029.96
5. Step 5: Solve for x
   x = 200,142,029.96/6,454.69
6. Step 6: Final answer
   x = 31,007.24