Finding the Third Proportional to 31,878 and 68,094

Step by Step Solution

1. Step 1: Write the proportion equation
   31,878 : 68,094 = 68,094 : x
2. Step 2: Convert to fraction form
   31,878/68,094 = 68,094/x
3. Step 3: Cross multiply
   31,878x = 68,094 × 68,094
4. Step 4: Simplify right side
   31,878x = 4,636,792,836
5. Step 5: Solve for x
   x = 4,636,792,836/31,878
6. Step 6: Final answer
   x = 145,454.32