Finding the Third Proportional to 1,365.38 and 1,815.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.38 : 1,815.94 = 1,815.94 : x
2. Step 2: Convert to fraction form
   1,365.38/1,815.94 = 1,815.94/x
3. Step 3: Cross multiply
   1,365.38x = 1,815.94 × 1,815.94
4. Step 4: Simplify right side
   1,365.38x = 3,297,629.00
5. Step 5: Solve for x
   x = 3,297,629.00/1,365.38
6. Step 6: Final answer
   x = 2,415.18