Finding the Third Proportional to 1,022.30 and 2,178.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.30 : 2,178.33 = 2,178.33 : x
2. Step 2: Convert to fraction form
   1,022.30/2,178.33 = 2,178.33/x
3. Step 3: Cross multiply
   1,022.30x = 2,178.33 × 2,178.33
4. Step 4: Simplify right side
   1,022.30x = 4,745,113.42
5. Step 5: Solve for x
   x = 4,745,113.42/1,022.30
6. Step 6: Final answer
   x = 4,641.62