Finding the Third Proportional to 1,196 and 2,164

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196 : 2,164 = 2,164 : x
2. Step 2: Convert to fraction form
   1,196/2,164 = 2,164/x
3. Step 3: Cross multiply
   1,196x = 2,164 × 2,164
4. Step 4: Simplify right side
   1,196x = 4,682,896
5. Step 5: Solve for x
   x = 4,682,896/1,196
6. Step 6: Final answer
   x = 3,915.46