Finding the Third Proportional to 5,072.63 and 7,239.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,072.63 : 7,239.38 = 7,239.38 : x
2. Step 2: Convert to fraction form
   5,072.63/7,239.38 = 7,239.38/x
3. Step 3: Cross multiply
   5,072.63x = 7,239.38 × 7,239.38
4. Step 4: Simplify right side
   5,072.63x = 52,408,550.39
5. Step 5: Solve for x
   x = 52,408,550.39/5,072.63
6. Step 6: Final answer
   x = 10,331.64