Finding the Third Proportional to 30,648 and 67,038

Step by Step Solution

1. Step 1: Write the proportion equation
   30,648 : 67,038 = 67,038 : x
2. Step 2: Convert to fraction form
   30,648/67,038 = 67,038/x
3. Step 3: Cross multiply
   30,648x = 67,038 × 67,038
4. Step 4: Simplify right side
   30,648x = 4,494,093,444
5. Step 5: Solve for x
   x = 4,494,093,444/30,648
6. Step 6: Final answer
   x = 146,635.78