Finding the Third Proportional to 1,022.91 and 2,179.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.91 : 2,179.69 = 2,179.69 : x
2. Step 2: Convert to fraction form
   1,022.91/2,179.69 = 2,179.69/x
3. Step 3: Cross multiply
   1,022.91x = 2,179.69 × 2,179.69
4. Step 4: Simplify right side
   1,022.91x = 4,751,037.60
5. Step 5: Solve for x
   x = 4,751,037.60/1,022.91
6. Step 6: Final answer
   x = 4,644.65