Finding the Third Proportional to 7,745.50 and 12,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,745.50 : 12,308.50 = 12,308.50 : x
2. Step 2: Convert to fraction form
   7,745.50/12,308.50 = 12,308.50/x
3. Step 3: Cross multiply
   7,745.50x = 12,308.50 × 12,308.50
4. Step 4: Simplify right side
   7,745.50x = 151,499,172.25
5. Step 5: Solve for x
   x = 151,499,172.25/7,745.50
6. Step 6: Final answer
   x = 19,559.64