Finding the Third Proportional to 30,996 and 67,986

Step by Step Solution

1. Step 1: Write the proportion equation
   30,996 : 67,986 = 67,986 : x
2. Step 2: Convert to fraction form
   30,996/67,986 = 67,986/x
3. Step 3: Cross multiply
   30,996x = 67,986 × 67,986
4. Step 4: Simplify right side
   30,996x = 4,622,096,196
5. Step 5: Solve for x
   x = 4,622,096,196/30,996
6. Step 6: Final answer
   x = 149,119.12