Finding the Third Proportional to 826.69 and 1,141.31

Step by Step Solution

1. Step 1: Write the proportion equation
   826.69 : 1,141.31 = 1,141.31 : x
2. Step 2: Convert to fraction form
   826.69/1,141.31 = 1,141.31/x
3. Step 3: Cross multiply
   826.69x = 1,141.31 × 1,141.31
4. Step 4: Simplify right side
   826.69x = 1,302,594.22
5. Step 5: Solve for x
   x = 1,302,594.22/826.69
6. Step 6: Final answer
   x = 1,575.68