Finding the Third Proportional to 3,538 and 5,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538 : 5,306.50 = 5,306.50 : x
2. Step 2: Convert to fraction form
   3,538/5,306.50 = 5,306.50/x
3. Step 3: Cross multiply
   3,538x = 5,306.50 × 5,306.50
4. Step 4: Simplify right side
   3,538x = 28,158,942.25
5. Step 5: Solve for x
   x = 28,158,942.25/3,538
6. Step 6: Final answer
   x = 7,959.00