Finding the Third Proportional to 11,706 and 20,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,706 : 20,383.50 = 20,383.50 : x
2. Step 2: Convert to fraction form
   11,706/20,383.50 = 20,383.50/x
3. Step 3: Cross multiply
   11,706x = 20,383.50 × 20,383.50
4. Step 4: Simplify right side
   11,706x = 415,487,072.25
5. Step 5: Solve for x
   x = 415,487,072.25/11,706
6. Step 6: Final answer
   x = 35,493.51