Finding the Third Proportional to 805.50 and 1,276.31

Step by Step Solution

1. Step 1: Write the proportion equation
   805.50 : 1,276.31 = 1,276.31 : x
2. Step 2: Convert to fraction form
   805.50/1,276.31 = 1,276.31/x
3. Step 3: Cross multiply
   805.50x = 1,276.31 × 1,276.31
4. Step 4: Simplify right side
   805.50x = 1,628,973.60
5. Step 5: Solve for x
   x = 1,628,973.60/805.50
6. Step 6: Final answer
   x = 2,022.31