Finding the Third Proportional to 30,996 and 67,851

Step by Step Solution

1. Step 1: Write the proportion equation
   30,996 : 67,851 = 67,851 : x
2. Step 2: Convert to fraction form
   30,996/67,851 = 67,851/x
3. Step 3: Cross multiply
   30,996x = 67,851 × 67,851
4. Step 4: Simplify right side
   30,996x = 4,603,758,201
5. Step 5: Solve for x
   x = 4,603,758,201/30,996
6. Step 6: Final answer
   x = 148,527.49