Finding the Third Proportional to 31,683 and 68,046

Step by Step Solution

1. Step 1: Write the proportion equation
   31,683 : 68,046 = 68,046 : x
2. Step 2: Convert to fraction form
   31,683/68,046 = 68,046/x
3. Step 3: Cross multiply
   31,683x = 68,046 × 68,046
4. Step 4: Simplify right side
   31,683x = 4,630,258,116
5. Step 5: Solve for x
   x = 4,630,258,116/31,683
6. Step 6: Final answer
   x = 146,143.30