Finding the Third Proportional to 17,644 and 27,249

Step by Step Solution

1. Step 1: Write the proportion equation
   17,644 : 27,249 = 27,249 : x
2. Step 2: Convert to fraction form
   17,644/27,249 = 27,249/x
3. Step 3: Cross multiply
   17,644x = 27,249 × 27,249
4. Step 4: Simplify right side
   17,644x = 742,508,001
5. Step 5: Solve for x
   x = 742,508,001/17,644
6. Step 6: Final answer
   x = 42,082.75