Finding the Third Proportional to 27,344 and 37,116

Step by Step Solution

1. Step 1: Write the proportion equation
   27,344 : 37,116 = 37,116 : x
2. Step 2: Convert to fraction form
   27,344/37,116 = 37,116/x
3. Step 3: Cross multiply
   27,344x = 37,116 × 37,116
4. Step 4: Simplify right side
   27,344x = 1,377,597,456
5. Step 5: Solve for x
   x = 1,377,597,456/27,344
6. Step 6: Final answer
   x = 50,380.25