Finding the Third Proportional to 27,174 and 41,049

Step by Step Solution

1. Step 1: Write the proportion equation
   27,174 : 41,049 = 41,049 : x
2. Step 2: Convert to fraction form
   27,174/41,049 = 41,049/x
3. Step 3: Cross multiply
   27,174x = 41,049 × 41,049
4. Step 4: Simplify right side
   27,174x = 1,685,020,401
5. Step 5: Solve for x
   x = 1,685,020,401/27,174
6. Step 6: Final answer
   x = 62,008.55