Finding the Third Proportional to 1,892 and 2,164

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892 : 2,164 = 2,164 : x
2. Step 2: Convert to fraction form
   1,892/2,164 = 2,164/x
3. Step 3: Cross multiply
   1,892x = 2,164 × 2,164
4. Step 4: Simplify right side
   1,892x = 4,682,896
5. Step 5: Solve for x
   x = 4,682,896/1,892
6. Step 6: Final answer
   x = 2,475.10