Finding the Third Proportional to 3,538.69 and 5,204.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 5,204.25 = 5,204.25 : x
2. Step 2: Convert to fraction form
   3,538.69/5,204.25 = 5,204.25/x
3. Step 3: Cross multiply
   3,538.69x = 5,204.25 × 5,204.25
4. Step 4: Simplify right side
   3,538.69x = 27,084,218.06
5. Step 5: Solve for x
   x = 27,084,218.06/3,538.69
6. Step 6: Final answer
   x = 7,653.75