Finding the Third Proportional to 2,164 and 5,068

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164 : 5,068 = 5,068 : x
2. Step 2: Convert to fraction form
   2,164/5,068 = 5,068/x
3. Step 3: Cross multiply
   2,164x = 5,068 × 5,068
4. Step 4: Simplify right side
   2,164x = 25,684,624
5. Step 5: Solve for x
   x = 25,684,624/2,164
6. Step 6: Final answer
   x = 11,869.05