Finding the Third Proportional to 1,023.56 and 1,536.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.56 : 1,536.38 = 1,536.38 : x
2. Step 2: Convert to fraction form
   1,023.56/1,536.38 = 1,536.38/x
3. Step 3: Cross multiply
   1,023.56x = 1,536.38 × 1,536.38
4. Step 4: Simplify right side
   1,023.56x = 2,360,448.14
5. Step 5: Solve for x
   x = 2,360,448.14/1,023.56
6. Step 6: Final answer
   x = 2,306.11