Finding the Third Proportional to 3,538.69 and 7,588.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 7,588.69 = 7,588.69 : x
2. Step 2: Convert to fraction form
   3,538.69/7,588.69 = 7,588.69/x
3. Step 3: Cross multiply
   3,538.69x = 7,588.69 × 7,588.69
4. Step 4: Simplify right side
   3,538.69x = 57,588,177.97
5. Step 5: Solve for x
   x = 57,588,177.97/3,538.69
6. Step 6: Final answer
   x = 16,273.88