Finding the Third Proportional to 1,235.25 and 1,866.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,235.25 : 1,866.38 = 1,866.38 : x
2. Step 2: Convert to fraction form
   1,235.25/1,866.38 = 1,866.38/x
3. Step 3: Cross multiply
   1,235.25x = 1,866.38 × 1,866.38
4. Step 4: Simplify right side
   1,235.25x = 3,483,355.64
5. Step 5: Solve for x
   x = 3,483,355.64/1,235.25
6. Step 6: Final answer
   x = 2,819.96