Finding the Third Proportional to 3,639.25 and 7,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,639.25 : 7,797.50 = 7,797.50 : x
2. Step 2: Convert to fraction form
   3,639.25/7,797.50 = 7,797.50/x
3. Step 3: Cross multiply
   3,639.25x = 7,797.50 × 7,797.50
4. Step 4: Simplify right side
   3,639.25x = 60,801,006.25
5. Step 5: Solve for x
   x = 60,801,006.25/3,639.25
6. Step 6: Final answer
   x = 16,707.02