Finding the Third Proportional to 1,644 and 2,386

Step by Step Solution

1. Step 1: Write the proportion equation
   1,644 : 2,386 = 2,386 : x
2. Step 2: Convert to fraction form
   1,644/2,386 = 2,386/x
3. Step 3: Cross multiply
   1,644x = 2,386 × 2,386
4. Step 4: Simplify right side
   1,644x = 5,692,996
5. Step 5: Solve for x
   x = 5,692,996/1,644
6. Step 6: Final answer
   x = 3,462.89