Finding the Third Proportional to 1,086.12 and 1,683.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.12 : 1,683.18 = 1,683.18 : x
2. Step 2: Convert to fraction form
   1,086.12/1,683.18 = 1,683.18/x
3. Step 3: Cross multiply
   1,086.12x = 1,683.18 × 1,683.18
4. Step 4: Simplify right side
   1,086.12x = 2,833,080.71
5. Step 5: Solve for x
   x = 2,833,080.71/1,086.12
6. Step 6: Final answer
   x = 2,608.45