Finding the Third Proportional to 30,996 and 67,788

Step by Step Solution

1. Step 1: Write the proportion equation
   30,996 : 67,788 = 67,788 : x
2. Step 2: Convert to fraction form
   30,996/67,788 = 67,788/x
3. Step 3: Cross multiply
   30,996x = 67,788 × 67,788
4. Step 4: Simplify right side
   30,996x = 4,595,212,944
5. Step 5: Solve for x
   x = 4,595,212,944/30,996
6. Step 6: Final answer
   x = 148,251.80