Finding the Third Proportional to 3,902.25 and 8,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,902.25 : 8,353.50 = 8,353.50 : x
2. Step 2: Convert to fraction form
   3,902.25/8,353.50 = 8,353.50/x
3. Step 3: Cross multiply
   3,902.25x = 8,353.50 × 8,353.50
4. Step 4: Simplify right side
   3,902.25x = 69,780,962.25
5. Step 5: Solve for x
   x = 69,780,962.25/3,902.25
6. Step 6: Final answer
   x = 17,882.24