Finding the Third Proportional to 2,209.78 and 4,722.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,209.78 : 4,722.05 = 4,722.05 : x
2. Step 2: Convert to fraction form
   2,209.78/4,722.05 = 4,722.05/x
3. Step 3: Cross multiply
   2,209.78x = 4,722.05 × 4,722.05
4. Step 4: Simplify right side
   2,209.78x = 22,297,726.69
5. Step 5: Solve for x
   x = 22,297,726.69/2,209.78
6. Step 6: Final answer
   x = 10,090.47