Finding the Third Proportional to 13,826 and 21,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826 : 21,443.50 = 21,443.50 : x
2. Step 2: Convert to fraction form
   13,826/21,443.50 = 21,443.50/x
3. Step 3: Cross multiply
   13,826x = 21,443.50 × 21,443.50
4. Step 4: Simplify right side
   13,826x = 459,823,692.25
5. Step 5: Solve for x
   x = 459,823,692.25/13,826
6. Step 6: Final answer
   x = 33,257.90