Finding the Third Proportional to 2,883.94 and 4,219.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,883.94 : 4,219.59 = 4,219.59 : x
2. Step 2: Convert to fraction form
   2,883.94/4,219.59 = 4,219.59/x
3. Step 3: Cross multiply
   2,883.94x = 4,219.59 × 4,219.59
4. Step 4: Simplify right side
   2,883.94x = 17,804,971.42
5. Step 5: Solve for x
   x = 17,804,971.42/2,883.94
6. Step 6: Final answer
   x = 6,173.84