Finding the Third Proportional to 1,154.25 and 1,807.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,154.25 : 1,807.31 = 1,807.31 : x
2. Step 2: Convert to fraction form
   1,154.25/1,807.31 = 1,807.31/x
3. Step 3: Cross multiply
   1,154.25x = 1,807.31 × 1,807.31
4. Step 4: Simplify right side
   1,154.25x = 3,266,378.47
5. Step 5: Solve for x
   x = 3,266,378.47/1,154.25
6. Step 6: Final answer
   x = 2,829.87