Finding the Third Proportional to 436.38 and 1,027.56

Step by Step Solution

1. Step 1: Write the proportion equation
   436.38 : 1,027.56 = 1,027.56 : x
2. Step 2: Convert to fraction form
   436.38/1,027.56 = 1,027.56/x
3. Step 3: Cross multiply
   436.38x = 1,027.56 × 1,027.56
4. Step 4: Simplify right side
   436.38x = 1,055,884.69
5. Step 5: Solve for x
   x = 1,055,884.69/436.38
6. Step 6: Final answer
   x = 2,419.67