Finding the Third Proportional to 11,644 and 18,034

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644 : 18,034 = 18,034 : x
2. Step 2: Convert to fraction form
   11,644/18,034 = 18,034/x
3. Step 3: Cross multiply
   11,644x = 18,034 × 18,034
4. Step 4: Simplify right side
   11,644x = 325,225,156
5. Step 5: Solve for x
   x = 325,225,156/11,644
6. Step 6: Final answer
   x = 27,930.71