Finding the Third Proportional to 1,029.25 and 2,096.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.25 : 2,096.75 = 2,096.75 : x
2. Step 2: Convert to fraction form
   1,029.25/2,096.75 = 2,096.75/x
3. Step 3: Cross multiply
   1,029.25x = 2,096.75 × 2,096.75
4. Step 4: Simplify right side
   1,029.25x = 4,396,360.56
5. Step 5: Solve for x
   x = 4,396,360.56/1,029.25
6. Step 6: Final answer
   x = 4,271.42