Finding the Third Proportional to 30,696 and 67,846

Step by Step Solution

1. Step 1: Write the proportion equation
   30,696 : 67,846 = 67,846 : x
2. Step 2: Convert to fraction form
   30,696/67,846 = 67,846/x
3. Step 3: Cross multiply
   30,696x = 67,846 × 67,846
4. Step 4: Simplify right side
   30,696x = 4,603,079,716
5. Step 5: Solve for x
   x = 4,603,079,716/30,696
6. Step 6: Final answer
   x = 149,956.99