Finding the Third Proportional to 3,485.25 and 7,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,485.25 : 7,564.50 = 7,564.50 : x
2. Step 2: Convert to fraction form
   3,485.25/7,564.50 = 7,564.50/x
3. Step 3: Cross multiply
   3,485.25x = 7,564.50 × 7,564.50
4. Step 4: Simplify right side
   3,485.25x = 57,221,660.25
5. Step 5: Solve for x
   x = 57,221,660.25/3,485.25
6. Step 6: Final answer
   x = 16,418.24