Finding the Third Proportional to 30,978 and 67,716

Step by Step Solution

1. Step 1: Write the proportion equation
   30,978 : 67,716 = 67,716 : x
2. Step 2: Convert to fraction form
   30,978/67,716 = 67,716/x
3. Step 3: Cross multiply
   30,978x = 67,716 × 67,716
4. Step 4: Simplify right side
   30,978x = 4,585,456,656
5. Step 5: Solve for x
   x = 4,585,456,656/30,978
6. Step 6: Final answer
   x = 148,023.01