Finding the Third Proportional to 1,160.81 and 1,798.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.81 : 1,798.69 = 1,798.69 : x
2. Step 2: Convert to fraction form
   1,160.81/1,798.69 = 1,798.69/x
3. Step 3: Cross multiply
   1,160.81x = 1,798.69 × 1,798.69
4. Step 4: Simplify right side
   1,160.81x = 3,235,276.72
5. Step 5: Solve for x
   x = 3,235,276.72/1,160.81
6. Step 6: Final answer
   x = 2,787.08