Finding the Third Proportional to 3,550.50 and 5,216.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,550.50 : 5,216.25 = 5,216.25 : x
2. Step 2: Convert to fraction form
   3,550.50/5,216.25 = 5,216.25/x
3. Step 3: Cross multiply
   3,550.50x = 5,216.25 × 5,216.25
4. Step 4: Simplify right side
   3,550.50x = 27,209,264.06
5. Step 5: Solve for x
   x = 27,209,264.06/3,550.50
6. Step 6: Final answer
   x = 7,663.50