Finding the Third Proportional to 1,196 and 1,856

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196 : 1,856 = 1,856 : x
2. Step 2: Convert to fraction form
   1,196/1,856 = 1,856/x
3. Step 3: Cross multiply
   1,196x = 1,856 × 1,856
4. Step 4: Simplify right side
   1,196x = 3,444,736
5. Step 5: Solve for x
   x = 3,444,736/1,196
6. Step 6: Final answer
   x = 2,880.21