Finding the Third Proportional to 1,017.50 and 1,522.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.50 : 1,522.25 = 1,522.25 : x
2. Step 2: Convert to fraction form
   1,017.50/1,522.25 = 1,522.25/x
3. Step 3: Cross multiply
   1,017.50x = 1,522.25 × 1,522.25
4. Step 4: Simplify right side
   1,017.50x = 2,317,245.06
5. Step 5: Solve for x
   x = 2,317,245.06/1,017.50
6. Step 6: Final answer
   x = 2,277.39