Finding the Third Proportional to 1,805.25 and 3,266.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,805.25 : 3,266.06 = 3,266.06 : x
2. Step 2: Convert to fraction form
   1,805.25/3,266.06 = 3,266.06/x
3. Step 3: Cross multiply
   1,805.25x = 3,266.06 × 3,266.06
4. Step 4: Simplify right side
   1,805.25x = 10,667,164.25
5. Step 5: Solve for x
   x = 10,667,164.25/1,805.25
6. Step 6: Final answer
   x = 5,908.97