Finding the Third Proportional to 21,909 and 33,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,909 : 33,664.50 = 33,664.50 : x
2. Step 2: Convert to fraction form
   21,909/33,664.50 = 33,664.50/x
3. Step 3: Cross multiply
   21,909x = 33,664.50 × 33,664.50
4. Step 4: Simplify right side
   21,909x = 1,133,298,560.25
5. Step 5: Solve for x
   x = 1,133,298,560.25/21,909
6. Step 6: Final answer
   x = 51,727.53