Finding the Third Proportional to 19,683 and 43,041.38

Step by Step Solution

1. Step 1: Write the proportion equation
   19,683 : 43,041.38 = 43,041.38 : x
2. Step 2: Convert to fraction form
   19,683/43,041.38 = 43,041.38/x
3. Step 3: Cross multiply
   19,683x = 43,041.38 × 43,041.38
4. Step 4: Simplify right side
   19,683x = 1,852,559,961.89
5. Step 5: Solve for x
   x = 1,852,559,961.89/19,683
6. Step 6: Final answer
   x = 94,119.80