Finding the Third Proportional to 826.88 and 1,807.31

Step by Step Solution

1. Step 1: Write the proportion equation
   826.88 : 1,807.31 = 1,807.31 : x
2. Step 2: Convert to fraction form
   826.88/1,807.31 = 1,807.31/x
3. Step 3: Cross multiply
   826.88x = 1,807.31 × 1,807.31
4. Step 4: Simplify right side
   826.88x = 3,266,378.47
5. Step 5: Solve for x
   x = 3,266,378.47/826.88
6. Step 6: Final answer
   x = 3,950.27