Finding the Third Proportional to 1,085.50 and 1,679.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.50 : 1,679.81 = 1,679.81 : x
2. Step 2: Convert to fraction form
   1,085.50/1,679.81 = 1,679.81/x
3. Step 3: Cross multiply
   1,085.50x = 1,679.81 × 1,679.81
4. Step 4: Simplify right side
   1,085.50x = 2,821,770.04
5. Step 5: Solve for x
   x = 2,821,770.04/1,085.50
6. Step 6: Final answer
   x = 2,599.51