Finding the Third Proportional to 3,538.13 and 5,086.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.13 : 5,086.69 = 5,086.69 : x
2. Step 2: Convert to fraction form
   3,538.13/5,086.69 = 5,086.69/x
3. Step 3: Cross multiply
   3,538.13x = 5,086.69 × 5,086.69
4. Step 4: Simplify right side
   3,538.13x = 25,874,389.72
5. Step 5: Solve for x
   x = 25,874,389.72/3,538.13
6. Step 6: Final answer
   x = 7,313.02