Finding the Third Proportional to 6,420.94 and 14,023.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,420.94 : 14,023.69 = 14,023.69 : x
2. Step 2: Convert to fraction form
   6,420.94/14,023.69 = 14,023.69/x
3. Step 3: Cross multiply
   6,420.94x = 14,023.69 × 14,023.69
4. Step 4: Simplify right side
   6,420.94x = 196,663,811.10
5. Step 5: Solve for x
   x = 196,663,811.10/6,420.94
6. Step 6: Final answer
   x = 30,628.52