Finding the Third Proportional to 6,406.59 and 13,771.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,406.59 : 13,771.27 = 13,771.27 : x
2. Step 2: Convert to fraction form
   6,406.59/13,771.27 = 13,771.27/x
3. Step 3: Cross multiply
   6,406.59x = 13,771.27 × 13,771.27
4. Step 4: Simplify right side
   6,406.59x = 189,647,756.91
5. Step 5: Solve for x
   x = 189,647,756.91/6,406.59
6. Step 6: Final answer
   x = 29,601.96