Finding the Third Proportional to 12,164 and 18,454

Step by Step Solution

1. Step 1: Write the proportion equation
   12,164 : 18,454 = 18,454 : x
2. Step 2: Convert to fraction form
   12,164/18,454 = 18,454/x
3. Step 3: Cross multiply
   12,164x = 18,454 × 18,454
4. Step 4: Simplify right side
   12,164x = 340,550,116
5. Step 5: Solve for x
   x = 340,550,116/12,164
6. Step 6: Final answer
   x = 27,996.56