Finding the Third Proportional to 27,978 and 42,374

Step by Step Solution

1. Step 1: Write the proportion equation
   27,978 : 42,374 = 42,374 : x
2. Step 2: Convert to fraction form
   27,978/42,374 = 42,374/x
3. Step 3: Cross multiply
   27,978x = 42,374 × 42,374
4. Step 4: Simplify right side
   27,978x = 1,795,555,876
5. Step 5: Solve for x
   x = 1,795,555,876/27,978
6. Step 6: Final answer
   x = 64,177.42