Finding the Third Proportional to 3,538.50 and 5,309.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.50 : 5,309.25 = 5,309.25 : x
2. Step 2: Convert to fraction form
   3,538.50/5,309.25 = 5,309.25/x
3. Step 3: Cross multiply
   3,538.50x = 5,309.25 × 5,309.25
4. Step 4: Simplify right side
   3,538.50x = 28,188,135.56
5. Step 5: Solve for x
   x = 28,188,135.56/3,538.50
6. Step 6: Final answer
   x = 7,966.13