Finding the Third Proportional to 2,821.50 and 4,070.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,821.50 : 4,070.25 = 4,070.25 : x
2. Step 2: Convert to fraction form
   2,821.50/4,070.25 = 4,070.25/x
3. Step 3: Cross multiply
   2,821.50x = 4,070.25 × 4,070.25
4. Step 4: Simplify right side
   2,821.50x = 16,566,935.06
5. Step 5: Solve for x
   x = 16,566,935.06/2,821.50
6. Step 6: Final answer
   x = 5,871.68