Finding the Third Proportional to 2,289 and 2,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,289 : 2,698.50 = 2,698.50 : x
2. Step 2: Convert to fraction form
   2,289/2,698.50 = 2,698.50/x
3. Step 3: Cross multiply
   2,289x = 2,698.50 × 2,698.50
4. Step 4: Simplify right side
   2,289x = 7,281,902.25
5. Step 5: Solve for x
   x = 7,281,902.25/2,289
6. Step 6: Final answer
   x = 3,181.26