Finding the Third Proportional to 21,823 and 33,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,823 : 33,586.50 = 33,586.50 : x
2. Step 2: Convert to fraction form
   21,823/33,586.50 = 33,586.50/x
3. Step 3: Cross multiply
   21,823x = 33,586.50 × 33,586.50
4. Step 4: Simplify right side
   21,823x = 1,128,052,982.25
5. Step 5: Solve for x
   x = 1,128,052,982.25/21,823
6. Step 6: Final answer
   x = 51,691.01