Finding the Third Proportional to 1,036.27 and 1,576.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.27 : 1,576.41 = 1,576.41 : x
2. Step 2: Convert to fraction form
   1,036.27/1,576.41 = 1,576.41/x
3. Step 3: Cross multiply
   1,036.27x = 1,576.41 × 1,576.41
4. Step 4: Simplify right side
   1,036.27x = 2,485,056.67
5. Step 5: Solve for x
   x = 2,485,056.67/1,036.27
6. Step 6: Final answer
   x = 2,398.09