Finding the Third Proportional to 1,167.75 and 1,805.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,167.75 : 1,805.63 = 1,805.63 : x
2. Step 2: Convert to fraction form
   1,167.75/1,805.63 = 1,805.63/x
3. Step 3: Cross multiply
   1,167.75x = 1,805.63 × 1,805.63
4. Step 4: Simplify right side
   1,167.75x = 3,260,281.64
5. Step 5: Solve for x
   x = 3,260,281.64/1,167.75
6. Step 6: Final answer
   x = 2,791.93