Finding the Third Proportional to 1,469.75 and 2,123.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,469.75 : 2,123.38 = 2,123.38 : x
2. Step 2: Convert to fraction form
   1,469.75/2,123.38 = 2,123.38/x
3. Step 3: Cross multiply
   1,469.75x = 2,123.38 × 2,123.38
4. Step 4: Simplify right side
   1,469.75x = 4,508,721.39
5. Step 5: Solve for x
   x = 4,508,721.39/1,469.75
6. Step 6: Final answer
   x = 3,067.68