Finding the Third Proportional to 33,954 and 68,826

Step by Step Solution

1. Step 1: Write the proportion equation
   33,954 : 68,826 = 68,826 : x
2. Step 2: Convert to fraction form
   33,954/68,826 = 68,826/x
3. Step 3: Cross multiply
   33,954x = 68,826 × 68,826
4. Step 4: Simplify right side
   33,954x = 4,737,018,276
5. Step 5: Solve for x
   x = 4,737,018,276/33,954
6. Step 6: Final answer
   x = 139,512.82