Finding the Third Proportional to 5,133.75 and 7,341.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,133.75 : 7,341.38 = 7,341.38 : x
2. Step 2: Convert to fraction form
   5,133.75/7,341.38 = 7,341.38/x
3. Step 3: Cross multiply
   5,133.75x = 7,341.38 × 7,341.38
4. Step 4: Simplify right side
   5,133.75x = 53,895,786.89
5. Step 5: Solve for x
   x = 53,895,786.89/5,133.75
6. Step 6: Final answer
   x = 10,498.33