Finding the Third Proportional to 19,683 and 30,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,683 : 30,496.50 = 30,496.50 : x
2. Step 2: Convert to fraction form
   19,683/30,496.50 = 30,496.50/x
3. Step 3: Cross multiply
   19,683x = 30,496.50 × 30,496.50
4. Step 4: Simplify right side
   19,683x = 930,036,512.25
5. Step 5: Solve for x
   x = 930,036,512.25/19,683
6. Step 6: Final answer
   x = 47,250.75