Finding the Third Proportional to 1,296 and 1,886

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296 : 1,886 = 1,886 : x
2. Step 2: Convert to fraction form
   1,296/1,886 = 1,886/x
3. Step 3: Cross multiply
   1,296x = 1,886 × 1,886
4. Step 4: Simplify right side
   1,296x = 3,556,996
5. Step 5: Solve for x
   x = 3,556,996/1,296
6. Step 6: Final answer
   x = 2,744.60