Finding the Third Proportional to 2,949.75 and 4,194

Step by Step Solution

1. Step 1: Write the proportion equation
   2,949.75 : 4,194 = 4,194 : x
2. Step 2: Convert to fraction form
   2,949.75/4,194 = 4,194/x
3. Step 3: Cross multiply
   2,949.75x = 4,194 × 4,194
4. Step 4: Simplify right side
   2,949.75x = 17,589,636
5. Step 5: Solve for x
   x = 17,589,636/2,949.75
6. Step 6: Final answer
   x = 5,963.09