Finding the Third Proportional to 1,305.38 and 2,747.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,305.38 : 2,747.63 = 2,747.63 : x
2. Step 2: Convert to fraction form
   1,305.38/2,747.63 = 2,747.63/x
3. Step 3: Cross multiply
   1,305.38x = 2,747.63 × 2,747.63
4. Step 4: Simplify right side
   1,305.38x = 7,549,443.14
5. Step 5: Solve for x
   x = 7,549,443.14/1,305.38
6. Step 6: Final answer
   x = 5,783.35