Finding the Third Proportional to 1,166.91 and 1,809.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.91 : 1,809.42 = 1,809.42 : x
2. Step 2: Convert to fraction form
   1,166.91/1,809.42 = 1,809.42/x
3. Step 3: Cross multiply
   1,166.91x = 1,809.42 × 1,809.42
4. Step 4: Simplify right side
   1,166.91x = 3,274,007.52
5. Step 5: Solve for x
   x = 3,274,007.52/1,166.91
6. Step 6: Final answer
   x = 2,805.72