Finding the Third Proportional to 27,674 and 41,540

Step by Step Solution

1. Step 1: Write the proportion equation
   27,674 : 41,540 = 41,540 : x
2. Step 2: Convert to fraction form
   27,674/41,540 = 41,540/x
3. Step 3: Cross multiply
   27,674x = 41,540 × 41,540
4. Step 4: Simplify right side
   27,674x = 1,725,571,600
5. Step 5: Solve for x
   x = 1,725,571,600/27,674
6. Step 6: Final answer
   x = 62,353.53