Finding the Third Proportional to 4,081.50 and 4,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,081.50 : 4,504.50 = 4,504.50 : x
2. Step 2: Convert to fraction form
   4,081.50/4,504.50 = 4,504.50/x
3. Step 3: Cross multiply
   4,081.50x = 4,504.50 × 4,504.50
4. Step 4: Simplify right side
   4,081.50x = 20,290,520.25
5. Step 5: Solve for x
   x = 20,290,520.25/4,081.50
6. Step 6: Final answer
   x = 4,971.34