Finding the Third Proportional to 997.69 and 2,109.38

Step by Step Solution

1. Step 1: Write the proportion equation
   997.69 : 2,109.38 = 2,109.38 : x
2. Step 2: Convert to fraction form
   997.69/2,109.38 = 2,109.38/x
3. Step 3: Cross multiply
   997.69x = 2,109.38 × 2,109.38
4. Step 4: Simplify right side
   997.69x = 4,449,462.89
5. Step 5: Solve for x
   x = 4,449,462.89/997.69
6. Step 6: Final answer
   x = 4,459.78