Finding the Third Proportional to 1,305.94 and 1,830.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,305.94 : 1,830.38 = 1,830.38 : x
2. Step 2: Convert to fraction form
   1,305.94/1,830.38 = 1,830.38/x
3. Step 3: Cross multiply
   1,305.94x = 1,830.38 × 1,830.38
4. Step 4: Simplify right side
   1,305.94x = 3,350,272.64
5. Step 5: Solve for x
   x = 3,350,272.64/1,305.94
6. Step 6: Final answer
   x = 2,565.42