Finding the Third Proportional to 37,978 and 83,104

Step by Step Solution

1. Step 1: Write the proportion equation
   37,978 : 83,104 = 83,104 : x
2. Step 2: Convert to fraction form
   37,978/83,104 = 83,104/x
3. Step 3: Cross multiply
   37,978x = 83,104 × 83,104
4. Step 4: Simplify right side
   37,978x = 6,906,274,816
5. Step 5: Solve for x
   x = 6,906,274,816/37,978
6. Step 6: Final answer
   x = 181,849.36