Finding the Third Proportional to 1,815.38 and 2,111.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,815.38 : 2,111.44 = 2,111.44 : x
2. Step 2: Convert to fraction form
   1,815.38/2,111.44 = 2,111.44/x
3. Step 3: Cross multiply
   1,815.38x = 2,111.44 × 2,111.44
4. Step 4: Simplify right side
   1,815.38x = 4,458,168.32
5. Step 5: Solve for x
   x = 4,458,168.32/1,815.38
6. Step 6: Final answer
   x = 2,455.78