Finding the Third Proportional to 2,944.50 and 4,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,944.50 : 4,196.50 = 4,196.50 : x
2. Step 2: Convert to fraction form
   2,944.50/4,196.50 = 4,196.50/x
3. Step 3: Cross multiply
   2,944.50x = 4,196.50 × 4,196.50
4. Step 4: Simplify right side
   2,944.50x = 17,610,612.25
5. Step 5: Solve for x
   x = 17,610,612.25/2,944.50
6. Step 6: Final answer
   x = 5,980.85