Finding the Third Proportional to 2,722.13 and 4,189.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,722.13 : 4,189.69 = 4,189.69 : x
2. Step 2: Convert to fraction form
   2,722.13/4,189.69 = 4,189.69/x
3. Step 3: Cross multiply
   2,722.13x = 4,189.69 × 4,189.69
4. Step 4: Simplify right side
   2,722.13x = 17,553,481.35
5. Step 5: Solve for x
   x = 17,553,481.35/2,722.13
6. Step 6: Final answer
   x = 6,448.45