Finding the Third Proportional to 1,165.50 and 2,522.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.50 : 2,522.25 = 2,522.25 : x
2. Step 2: Convert to fraction form
   1,165.50/2,522.25 = 2,522.25/x
3. Step 3: Cross multiply
   1,165.50x = 2,522.25 × 2,522.25
4. Step 4: Simplify right side
   1,165.50x = 6,361,745.06
5. Step 5: Solve for x
   x = 6,361,745.06/1,165.50
6. Step 6: Final answer
   x = 5,458.38