Finding the Third Proportional to 6,405.75 and 13,768.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,405.75 : 13,768.69 = 13,768.69 : x
2. Step 2: Convert to fraction form
   6,405.75/13,768.69 = 13,768.69/x
3. Step 3: Cross multiply
   6,405.75x = 13,768.69 × 13,768.69
4. Step 4: Simplify right side
   6,405.75x = 189,576,755.47
5. Step 5: Solve for x
   x = 189,576,755.47/6,405.75
6. Step 6: Final answer
   x = 29,594.78