Finding the Third Proportional to 1,159.75 and 1,798.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.75 : 1,798.56 = 1,798.56 : x
2. Step 2: Convert to fraction form
   1,159.75/1,798.56 = 1,798.56/x
3. Step 3: Cross multiply
   1,159.75x = 1,798.56 × 1,798.56
4. Step 4: Simplify right side
   1,159.75x = 3,234,827.07
5. Step 5: Solve for x
   x = 3,234,827.07/1,159.75
6. Step 6: Final answer
   x = 2,789.25