Finding the Third Proportional to 1,188 and 3,164

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188 : 3,164 = 3,164 : x
2. Step 2: Convert to fraction form
   1,188/3,164 = 3,164/x
3. Step 3: Cross multiply
   1,188x = 3,164 × 3,164
4. Step 4: Simplify right side
   1,188x = 10,010,896
5. Step 5: Solve for x
   x = 10,010,896/1,188
6. Step 6: Final answer
   x = 8,426.68