Finding the Third Proportional to 30,978 and 67,886

Step by Step Solution

1. Step 1: Write the proportion equation
   30,978 : 67,886 = 67,886 : x
2. Step 2: Convert to fraction form
   30,978/67,886 = 67,886/x
3. Step 3: Cross multiply
   30,978x = 67,886 × 67,886
4. Step 4: Simplify right side
   30,978x = 4,608,508,996
5. Step 5: Solve for x
   x = 4,608,508,996/30,978
6. Step 6: Final answer
   x = 148,767.16