Finding the Third Proportional to 11,871 and 16,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,871 : 16,411.50 = 16,411.50 : x
2. Step 2: Convert to fraction form
   11,871/16,411.50 = 16,411.50/x
3. Step 3: Cross multiply
   11,871x = 16,411.50 × 16,411.50
4. Step 4: Simplify right side
   11,871x = 269,337,332.25
5. Step 5: Solve for x
   x = 269,337,332.25/11,871
6. Step 6: Final answer
   x = 22,688.68