Finding the Third Proportional to 4,225.50 and 5,690.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,225.50 : 5,690.25 = 5,690.25 : x
2. Step 2: Convert to fraction form
   4,225.50/5,690.25 = 5,690.25/x
3. Step 3: Cross multiply
   4,225.50x = 5,690.25 × 5,690.25
4. Step 4: Simplify right side
   4,225.50x = 32,378,945.06
5. Step 5: Solve for x
   x = 32,378,945.06/4,225.50
6. Step 6: Final answer
   x = 7,662.75