Finding the Third Proportional to 21,981 and 47,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,981 : 47,383.50 = 47,383.50 : x
2. Step 2: Convert to fraction form
   21,981/47,383.50 = 47,383.50/x
3. Step 3: Cross multiply
   21,981x = 47,383.50 × 47,383.50
4. Step 4: Simplify right side
   21,981x = 2,245,196,072.25
5. Step 5: Solve for x
   x = 2,245,196,072.25/21,981
6. Step 6: Final answer
   x = 102,142.58