Finding the Third Proportional to 1,565.25 and 2,274.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.25 : 2,274.38 = 2,274.38 : x
2. Step 2: Convert to fraction form
   1,565.25/2,274.38 = 2,274.38/x
3. Step 3: Cross multiply
   1,565.25x = 2,274.38 × 2,274.38
4. Step 4: Simplify right side
   1,565.25x = 5,172,781.64
5. Step 5: Solve for x
   x = 5,172,781.64/1,565.25
6. Step 6: Final answer
   x = 3,304.76