Finding the Third Proportional to 3,681 and 5,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,681 : 5,523.50 = 5,523.50 : x
2. Step 2: Convert to fraction form
   3,681/5,523.50 = 5,523.50/x
3. Step 3: Cross multiply
   3,681x = 5,523.50 × 5,523.50
4. Step 4: Simplify right side
   3,681x = 30,509,052.25
5. Step 5: Solve for x
   x = 30,509,052.25/3,681
6. Step 6: Final answer
   x = 8,288.25