Finding the Third Proportional to 2,789.25 and 4,184.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,789.25 : 4,184.63 = 4,184.63 : x
2. Step 2: Convert to fraction form
   2,789.25/4,184.63 = 4,184.63/x
3. Step 3: Cross multiply
   2,789.25x = 4,184.63 × 4,184.63
4. Step 4: Simplify right side
   2,789.25x = 17,511,086.39
5. Step 5: Solve for x
   x = 17,511,086.39/2,789.25
6. Step 6: Final answer
   x = 6,278.06