Finding the Third Proportional to 11,886 and 17,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,886 : 17,641.50 = 17,641.50 : x
2. Step 2: Convert to fraction form
   11,886/17,641.50 = 17,641.50/x
3. Step 3: Cross multiply
   11,886x = 17,641.50 × 17,641.50
4. Step 4: Simplify right side
   11,886x = 311,222,522.25
5. Step 5: Solve for x
   x = 311,222,522.25/11,886
6. Step 6: Final answer
   x = 26,183.96