Finding the Third Proportional to 42,978 and 69,027

Step by Step Solution

1. Step 1: Write the proportion equation
   42,978 : 69,027 = 69,027 : x
2. Step 2: Convert to fraction form
   42,978/69,027 = 69,027/x
3. Step 3: Cross multiply
   42,978x = 69,027 × 69,027
4. Step 4: Simplify right side
   42,978x = 4,764,726,729
5. Step 5: Solve for x
   x = 4,764,726,729/42,978
6. Step 6: Final answer
   x = 110,864.32