Finding the Third Proportional to 5,660 and 7,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,660 : 7,443.50 = 7,443.50 : x
2. Step 2: Convert to fraction form
   5,660/7,443.50 = 7,443.50/x
3. Step 3: Cross multiply
   5,660x = 7,443.50 × 7,443.50
4. Step 4: Simplify right side
   5,660x = 55,405,692.25
5. Step 5: Solve for x
   x = 55,405,692.25/5,660
6. Step 6: Final answer
   x = 9,788.99