Finding the Third Proportional to 3,538.69 and 5,697.84

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 5,697.84 = 5,697.84 : x
2. Step 2: Convert to fraction form
   3,538.69/5,697.84 = 5,697.84/x
3. Step 3: Cross multiply
   3,538.69x = 5,697.84 × 5,697.84
4. Step 4: Simplify right side
   3,538.69x = 32,465,423.40
5. Step 5: Solve for x
   x = 32,465,423.40/3,538.69
6. Step 6: Final answer
   x = 9,174.43