Finding the Third Proportional to 7,078.64 and 14,464.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,078.64 : 14,464.83 = 14,464.83 : x
2. Step 2: Convert to fraction form
   7,078.64/14,464.83 = 14,464.83/x
3. Step 3: Cross multiply
   7,078.64x = 14,464.83 × 14,464.83
4. Step 4: Simplify right side
   7,078.64x = 209,231,252.69
5. Step 5: Solve for x
   x = 209,231,252.69/7,078.64
6. Step 6: Final answer
   x = 29,558.11