Finding the Third Proportional to 1,014.75 and 1,522.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.75 : 1,522.31 = 1,522.31 : x
2. Step 2: Convert to fraction form
   1,014.75/1,522.31 = 1,522.31/x
3. Step 3: Cross multiply
   1,014.75x = 1,522.31 × 1,522.31
4. Step 4: Simplify right side
   1,014.75x = 2,317,435.35
5. Step 5: Solve for x
   x = 2,317,435.35/1,014.75
6. Step 6: Final answer
   x = 2,283.75