Finding the Third Proportional to 30,658.50 and 67,401

Step by Step Solution

1. Step 1: Write the proportion equation
   30,658.50 : 67,401 = 67,401 : x
2. Step 2: Convert to fraction form
   30,658.50/67,401 = 67,401/x
3. Step 3: Cross multiply
   30,658.50x = 67,401 × 67,401
4. Step 4: Simplify right side
   30,658.50x = 4,542,894,801
5. Step 5: Solve for x
   x = 4,542,894,801/30,658.50
6. Step 6: Final answer
   x = 148,177.33