Finding the Third Proportional to 10,278.14 and 13,744.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.14 : 13,744.69 = 13,744.69 : x
2. Step 2: Convert to fraction form
   10,278.14/13,744.69 = 13,744.69/x
3. Step 3: Cross multiply
   10,278.14x = 13,744.69 × 13,744.69
4. Step 4: Simplify right side
   10,278.14x = 188,916,434.47
5. Step 5: Solve for x
   x = 188,916,434.47/10,278.14
6. Step 6: Final answer
   x = 18,380.41