Finding the Third Proportional to 1,522 and 2,036

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522 : 2,036 = 2,036 : x
2. Step 2: Convert to fraction form
   1,522/2,036 = 2,036/x
3. Step 3: Cross multiply
   1,522x = 2,036 × 2,036
4. Step 4: Simplify right side
   1,522x = 4,145,296
5. Step 5: Solve for x
   x = 4,145,296/1,522
6. Step 6: Final answer
   x = 2,723.58