Finding the Third Proportional to 7,745.25 and 16,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,745.25 : 16,489.50 = 16,489.50 : x
2. Step 2: Convert to fraction form
   7,745.25/16,489.50 = 16,489.50/x
3. Step 3: Cross multiply
   7,745.25x = 16,489.50 × 16,489.50
4. Step 4: Simplify right side
   7,745.25x = 271,903,610.25
5. Step 5: Solve for x
   x = 271,903,610.25/7,745.25
6. Step 6: Final answer
   x = 35,105.85