Finding the Third Proportional to 30,894 and 67,453

Step by Step Solution

1. Step 1: Write the proportion equation
   30,894 : 67,453 = 67,453 : x
2. Step 2: Convert to fraction form
   30,894/67,453 = 67,453/x
3. Step 3: Cross multiply
   30,894x = 67,453 × 67,453
4. Step 4: Simplify right side
   30,894x = 4,549,907,209
5. Step 5: Solve for x
   x = 4,549,907,209/30,894
6. Step 6: Final answer
   x = 147,274.79