Finding the Third Proportional to 19,683 and 31,167

Step by Step Solution

1. Step 1: Write the proportion equation
   19,683 : 31,167 = 31,167 : x
2. Step 2: Convert to fraction form
   19,683/31,167 = 31,167/x
3. Step 3: Cross multiply
   19,683x = 31,167 × 31,167
4. Step 4: Simplify right side
   19,683x = 971,381,889
5. Step 5: Solve for x
   x = 971,381,889/19,683
6. Step 6: Final answer
   x = 49,351.31