Finding the Third Proportional to 6,409.13 and 14,002.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,409.13 : 14,002.88 = 14,002.88 : x
2. Step 2: Convert to fraction form
   6,409.13/14,002.88 = 14,002.88/x
3. Step 3: Cross multiply
   6,409.13x = 14,002.88 × 14,002.88
4. Step 4: Simplify right side
   6,409.13x = 196,080,508.27
5. Step 5: Solve for x
   x = 196,080,508.27/6,409.13
6. Step 6: Final answer
   x = 30,593.96