Finding the Third Proportional to 944 and 2,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   944 : 2,022.50 = 2,022.50 : x
2. Step 2: Convert to fraction form
   944/2,022.50 = 2,022.50/x
3. Step 3: Cross multiply
   944x = 2,022.50 × 2,022.50
4. Step 4: Simplify right side
   944x = 4,090,506.25
5. Step 5: Solve for x
   x = 4,090,506.25/944
6. Step 6: Final answer
   x = 4,333.16