Finding the Third Proportional to 6,291.94 and 13,767.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,291.94 : 13,767.38 = 13,767.38 : x
2. Step 2: Convert to fraction form
   6,291.94/13,767.38 = 13,767.38/x
3. Step 3: Cross multiply
   6,291.94x = 13,767.38 × 13,767.38
4. Step 4: Simplify right side
   6,291.94x = 189,540,614.39
5. Step 5: Solve for x
   x = 189,540,614.39/6,291.94
6. Step 6: Final answer
   x = 30,124.36