Finding the Third Proportional to 1,059.75 and 1,686.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.75 : 1,686.38 = 1,686.38 : x
2. Step 2: Convert to fraction form
   1,059.75/1,686.38 = 1,686.38/x
3. Step 3: Cross multiply
   1,059.75x = 1,686.38 × 1,686.38
4. Step 4: Simplify right side
   1,059.75x = 2,843,860.64
5. Step 5: Solve for x
   x = 2,843,860.64/1,059.75
6. Step 6: Final answer
   x = 2,683.52