Finding the Third Proportional to 1,076.25 and 1,629.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076.25 : 1,629.25 = 1,629.25 : x
2. Step 2: Convert to fraction form
   1,076.25/1,629.25 = 1,629.25/x
3. Step 3: Cross multiply
   1,076.25x = 1,629.25 × 1,629.25
4. Step 4: Simplify right side
   1,076.25x = 2,654,455.56
5. Step 5: Solve for x
   x = 2,654,455.56/1,076.25
6. Step 6: Final answer
   x = 2,466.39