Finding the Third Proportional to 6,743.50 and 10,208.94

Step by Step Solution

1. Step 1: Write the proportion equation
   6,743.50 : 10,208.94 = 10,208.94 : x
2. Step 2: Convert to fraction form
   6,743.50/10,208.94 = 10,208.94/x
3. Step 3: Cross multiply
   6,743.50x = 10,208.94 × 10,208.94
4. Step 4: Simplify right side
   6,743.50x = 104,222,365.00
5. Step 5: Solve for x
   x = 104,222,365.00/6,743.50
6. Step 6: Final answer
   x = 15,455.24