Finding the Third Proportional to 2,020.50 and 4,160.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,020.50 : 4,160.25 = 4,160.25 : x
2. Step 2: Convert to fraction form
   2,020.50/4,160.25 = 4,160.25/x
3. Step 3: Cross multiply
   2,020.50x = 4,160.25 × 4,160.25
4. Step 4: Simplify right side
   2,020.50x = 17,307,680.06
5. Step 5: Solve for x
   x = 17,307,680.06/2,020.50
6. Step 6: Final answer
   x = 8,566.04