Finding the Third Proportional to 1,040.34 and 1,522.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,040.34 : 1,522.55 = 1,522.55 : x
2. Step 2: Convert to fraction form
   1,040.34/1,522.55 = 1,522.55/x
3. Step 3: Cross multiply
   1,040.34x = 1,522.55 × 1,522.55
4. Step 4: Simplify right side
   1,040.34x = 2,318,148.99
5. Step 5: Solve for x
   x = 2,318,148.99/1,040.34
6. Step 6: Final answer
   x = 2,228.25