Finding the Third Proportional to 21,867 and 33,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,867 : 33,766.50 = 33,766.50 : x
2. Step 2: Convert to fraction form
   21,867/33,766.50 = 33,766.50/x
3. Step 3: Cross multiply
   21,867x = 33,766.50 × 33,766.50
4. Step 4: Simplify right side
   21,867x = 1,140,176,522.25
5. Step 5: Solve for x
   x = 1,140,176,522.25/21,867
6. Step 6: Final answer
   x = 52,141.42