Finding the Third Proportional to 1,522.75 and 2,280.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.75 : 2,280.25 = 2,280.25 : x
2. Step 2: Convert to fraction form
   1,522.75/2,280.25 = 2,280.25/x
3. Step 3: Cross multiply
   1,522.75x = 2,280.25 × 2,280.25
4. Step 4: Simplify right side
   1,522.75x = 5,199,540.06
5. Step 5: Solve for x
   x = 5,199,540.06/1,522.75
6. Step 6: Final answer
   x = 3,414.57