Finding the Third Proportional to 19,683 and 32,805

Step by Step Solution

1. Step 1: Write the proportion equation
   19,683 : 32,805 = 32,805 : x
2. Step 2: Convert to fraction form
   19,683/32,805 = 32,805/x
3. Step 3: Cross multiply
   19,683x = 32,805 × 32,805
4. Step 4: Simplify right side
   19,683x = 1,076,168,025
5. Step 5: Solve for x
   x = 1,076,168,025/19,683
6. Step 6: Final answer
   x = 54,675