Finding the Third Proportional to 5,186.38 and 7,455.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,186.38 : 7,455.56 = 7,455.56 : x
2. Step 2: Convert to fraction form
   5,186.38/7,455.56 = 7,455.56/x
3. Step 3: Cross multiply
   5,186.38x = 7,455.56 × 7,455.56
4. Step 4: Simplify right side
   5,186.38x = 55,585,412.19
5. Step 5: Solve for x
   x = 55,585,412.19/5,186.38
6. Step 6: Final answer
   x = 10,717.58