Finding the Third Proportional to 6,427.69 and 14,008.57

Step by Step Solution

1. Step 1: Write the proportion equation
   6,427.69 : 14,008.57 = 14,008.57 : x
2. Step 2: Convert to fraction form
   6,427.69/14,008.57 = 14,008.57/x
3. Step 3: Cross multiply
   6,427.69x = 14,008.57 × 14,008.57
4. Step 4: Simplify right side
   6,427.69x = 196,240,042.20
5. Step 5: Solve for x
   x = 196,240,042.20/6,427.69
6. Step 6: Final answer
   x = 30,530.43