Finding the Third Proportional to 1,105 and 1,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105 : 1,765.50 = 1,765.50 : x
2. Step 2: Convert to fraction form
   1,105/1,765.50 = 1,765.50/x
3. Step 3: Cross multiply
   1,105x = 1,765.50 × 1,765.50
4. Step 4: Simplify right side
   1,105x = 3,116,990.25
5. Step 5: Solve for x
   x = 3,116,990.25/1,105
6. Step 6: Final answer
   x = 2,820.81