Finding the Third Proportional to 11,833 and 16,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,833 : 16,021.50 = 16,021.50 : x
2. Step 2: Convert to fraction form
   11,833/16,021.50 = 16,021.50/x
3. Step 3: Cross multiply
   11,833x = 16,021.50 × 16,021.50
4. Step 4: Simplify right side
   11,833x = 256,688,462.25
5. Step 5: Solve for x
   x = 256,688,462.25/11,833
6. Step 6: Final answer
   x = 21,692.59