Finding the Third Proportional to 30,961 and 67,856

Step by Step Solution

1. Step 1: Write the proportion equation
   30,961 : 67,856 = 67,856 : x
2. Step 2: Convert to fraction form
   30,961/67,856 = 67,856/x
3. Step 3: Cross multiply
   30,961x = 67,856 × 67,856
4. Step 4: Simplify right side
   30,961x = 4,604,436,736
5. Step 5: Solve for x
   x = 4,604,436,736/30,961
6. Step 6: Final answer
   x = 148,717.31