Finding the Third Proportional to 6,738.19 and 13,744.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738.19 : 13,744.69 = 13,744.69 : x
2. Step 2: Convert to fraction form
   6,738.19/13,744.69 = 13,744.69/x
3. Step 3: Cross multiply
   6,738.19x = 13,744.69 × 13,744.69
4. Step 4: Simplify right side
   6,738.19x = 188,916,434.47
5. Step 5: Solve for x
   x = 188,916,434.47/6,738.19
6. Step 6: Final answer
   x = 28,036.68