Finding the Third Proportional to 30,894 and 67,485

Step by Step Solution

1. Step 1: Write the proportion equation
   30,894 : 67,485 = 67,485 : x
2. Step 2: Convert to fraction form
   30,894/67,485 = 67,485/x
3. Step 3: Cross multiply
   30,894x = 67,485 × 67,485
4. Step 4: Simplify right side
   30,894x = 4,554,225,225
5. Step 5: Solve for x
   x = 4,554,225,225/30,894
6. Step 6: Final answer
   x = 147,414.55