Finding the Third Proportional to 1,096 and 1,697.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096 : 1,697.75 = 1,697.75 : x
2. Step 2: Convert to fraction form
   1,096/1,697.75 = 1,697.75/x
3. Step 3: Cross multiply
   1,096x = 1,697.75 × 1,697.75
4. Step 4: Simplify right side
   1,096x = 2,882,355.06
5. Step 5: Solve for x
   x = 2,882,355.06/1,096
6. Step 6: Final answer
   x = 2,629.89