Finding the Third Proportional to 30,678 and 45,747

Step by Step Solution

1. Step 1: Write the proportion equation
   30,678 : 45,747 = 45,747 : x
2. Step 2: Convert to fraction form
   30,678/45,747 = 45,747/x
3. Step 3: Cross multiply
   30,678x = 45,747 × 45,747
4. Step 4: Simplify right side
   30,678x = 2,092,788,009
5. Step 5: Solve for x
   x = 2,092,788,009/30,678
6. Step 6: Final answer
   x = 68,217.88