Finding the Third Proportional to 4,191.75 and 4,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,191.75 : 4,581.50 = 4,581.50 : x
2. Step 2: Convert to fraction form
   4,191.75/4,581.50 = 4,581.50/x
3. Step 3: Cross multiply
   4,191.75x = 4,581.50 × 4,581.50
4. Step 4: Simplify right side
   4,191.75x = 20,990,142.25
5. Step 5: Solve for x
   x = 20,990,142.25/4,191.75
6. Step 6: Final answer
   x = 5,007.49