Finding the Third Proportional to 36,978 and 55,449

Step by Step Solution

1. Step 1: Write the proportion equation
   36,978 : 55,449 = 55,449 : x
2. Step 2: Convert to fraction form
   36,978/55,449 = 55,449/x
3. Step 3: Cross multiply
   36,978x = 55,449 × 55,449
4. Step 4: Simplify right side
   36,978x = 3,074,591,601
5. Step 5: Solve for x
   x = 3,074,591,601/36,978
6. Step 6: Final answer
   x = 83,146.51