Finding the Third Proportional to 2,164.22 and 4,769.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164.22 : 4,769.82 = 4,769.82 : x
2. Step 2: Convert to fraction form
   2,164.22/4,769.82 = 4,769.82/x
3. Step 3: Cross multiply
   2,164.22x = 4,769.82 × 4,769.82
4. Step 4: Simplify right side
   2,164.22x = 22,751,223.08
5. Step 5: Solve for x
   x = 22,751,223.08/2,164.22
6. Step 6: Final answer
   x = 10,512.44