Finding the Third Proportional to 6,496.50 and 14,030

Step by Step Solution

1. Step 1: Write the proportion equation
   6,496.50 : 14,030 = 14,030 : x
2. Step 2: Convert to fraction form
   6,496.50/14,030 = 14,030/x
3. Step 3: Cross multiply
   6,496.50x = 14,030 × 14,030
4. Step 4: Simplify right side
   6,496.50x = 196,840,900
5. Step 5: Solve for x
   x = 196,840,900/6,496.50
6. Step 6: Final answer
   x = 30,299.53