Finding the Third Proportional to 19,683 and 43,254

Step by Step Solution

1. Step 1: Write the proportion equation
   19,683 : 43,254 = 43,254 : x
2. Step 2: Convert to fraction form
   19,683/43,254 = 43,254/x
3. Step 3: Cross multiply
   19,683x = 43,254 × 43,254
4. Step 4: Simplify right side
   19,683x = 1,870,908,516
5. Step 5: Solve for x
   x = 1,870,908,516/19,683
6. Step 6: Final answer
   x = 95,052