Finding the Third Proportional to 6,464.81 and 14,140.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,464.81 : 14,140.83 = 14,140.83 : x
2. Step 2: Convert to fraction form
   6,464.81/14,140.83 = 14,140.83/x
3. Step 3: Cross multiply
   6,464.81x = 14,140.83 × 14,140.83
4. Step 4: Simplify right side
   6,464.81x = 199,963,020.06
5. Step 5: Solve for x
   x = 199,963,020.06/6,464.81
6. Step 6: Final answer
   x = 30,930.99