Finding the Third Proportional to 6,493.69 and 14,012.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,493.69 : 14,012.63 = 14,012.63 : x
2. Step 2: Convert to fraction form
   6,493.69/14,012.63 = 14,012.63/x
3. Step 3: Cross multiply
   6,493.69x = 14,012.63 × 14,012.63
4. Step 4: Simplify right side
   6,493.69x = 196,353,659.39
5. Step 5: Solve for x
   x = 196,353,659.39/6,493.69
6. Step 6: Final answer
   x = 30,237.62