Finding the Third Proportional to 1,477.83 and 2,105.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.83 : 2,105.79 = 2,105.79 : x
2. Step 2: Convert to fraction form
   1,477.83/2,105.79 = 2,105.79/x
3. Step 3: Cross multiply
   1,477.83x = 2,105.79 × 2,105.79
4. Step 4: Simplify right side
   1,477.83x = 4,434,347.58
5. Step 5: Solve for x
   x = 4,434,347.58/1,477.83
6. Step 6: Final answer
   x = 3,000.58