Finding the Third Proportional to 2,705.59 and 4,047.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.59 : 4,047.47 = 4,047.47 : x
2. Step 2: Convert to fraction form
   2,705.59/4,047.47 = 4,047.47/x
3. Step 3: Cross multiply
   2,705.59x = 4,047.47 × 4,047.47
4. Step 4: Simplify right side
   2,705.59x = 16,382,003.28
5. Step 5: Solve for x
   x = 16,382,003.28/2,705.59
6. Step 6: Final answer
   x = 6,054.87