Finding the Third Proportional to 27,540 and 37,008

Step by Step Solution

1. Step 1: Write the proportion equation
   27,540 : 37,008 = 37,008 : x
2. Step 2: Convert to fraction form
   27,540/37,008 = 37,008/x
3. Step 3: Cross multiply
   27,540x = 37,008 × 37,008
4. Step 4: Simplify right side
   27,540x = 1,369,592,064
5. Step 5: Solve for x
   x = 1,369,592,064/27,540
6. Step 6: Final answer
   x = 49,731.01