Finding the Third Proportional to 1,086.25 and 1,682.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.25 : 1,682.75 = 1,682.75 : x
2. Step 2: Convert to fraction form
   1,086.25/1,682.75 = 1,682.75/x
3. Step 3: Cross multiply
   1,086.25x = 1,682.75 × 1,682.75
4. Step 4: Simplify right side
   1,086.25x = 2,831,647.56
5. Step 5: Solve for x
   x = 2,831,647.56/1,086.25
6. Step 6: Final answer
   x = 2,606.81