Finding the Third Proportional to 1,822.50 and 2,865.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.50 : 2,865.09 = 2,865.09 : x
2. Step 2: Convert to fraction form
   1,822.50/2,865.09 = 2,865.09/x
3. Step 3: Cross multiply
   1,822.50x = 2,865.09 × 2,865.09
4. Step 4: Simplify right side
   1,822.50x = 8,208,762.20
5. Step 5: Solve for x
   x = 8,208,762.20/1,822.50
6. Step 6: Final answer
   x = 4,504.12