Finding the Third Proportional to 30,894 and 67,802

Step by Step Solution

1. Step 1: Write the proportion equation
   30,894 : 67,802 = 67,802 : x
2. Step 2: Convert to fraction form
   30,894/67,802 = 67,802/x
3. Step 3: Cross multiply
   30,894x = 67,802 × 67,802
4. Step 4: Simplify right side
   30,894x = 4,597,111,204
5. Step 5: Solve for x
   x = 4,597,111,204/30,894
6. Step 6: Final answer
   x = 148,802.72