Finding the Third Proportional to 31,978 and 50,054

Step by Step Solution

1. Step 1: Write the proportion equation
   31,978 : 50,054 = 50,054 : x
2. Step 2: Convert to fraction form
   31,978/50,054 = 50,054/x
3. Step 3: Cross multiply
   31,978x = 50,054 × 50,054
4. Step 4: Simplify right side
   31,978x = 2,505,402,916
5. Step 5: Solve for x
   x = 2,505,402,916/31,978
6. Step 6: Final answer
   x = 78,347.71