Finding the Third Proportional to 1,209.75 and 1,926.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,209.75 : 1,926.38 = 1,926.38 : x
2. Step 2: Convert to fraction form
   1,209.75/1,926.38 = 1,926.38/x
3. Step 3: Cross multiply
   1,209.75x = 1,926.38 × 1,926.38
4. Step 4: Simplify right side
   1,209.75x = 3,710,920.64
5. Step 5: Solve for x
   x = 3,710,920.64/1,209.75
6. Step 6: Final answer
   x = 3,067.51