Finding the Third Proportional to 1,069 and 1,986

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069 : 1,986 = 1,986 : x
2. Step 2: Convert to fraction form
   1,069/1,986 = 1,986/x
3. Step 3: Cross multiply
   1,069x = 1,986 × 1,986
4. Step 4: Simplify right side
   1,069x = 3,944,196
5. Step 5: Solve for x
   x = 3,944,196/1,069
6. Step 6: Final answer
   x = 3,689.61