Finding the Third Proportional to 19,683 and 42,023.81

Step by Step Solution

1. Step 1: Write the proportion equation
   19,683 : 42,023.81 = 42,023.81 : x
2. Step 2: Convert to fraction form
   19,683/42,023.81 = 42,023.81/x
3. Step 3: Cross multiply
   19,683x = 42,023.81 × 42,023.81
4. Step 4: Simplify right side
   19,683x = 1,766,000,817.04
5. Step 5: Solve for x
   x = 1,766,000,817.04/19,683
6. Step 6: Final answer
   x = 89,722.14