Finding the Third Proportional to 11,766 and 13,854

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766 : 13,854 = 13,854 : x
2. Step 2: Convert to fraction form
   11,766/13,854 = 13,854/x
3. Step 3: Cross multiply
   11,766x = 13,854 × 13,854
4. Step 4: Simplify right side
   11,766x = 191,933,316
5. Step 5: Solve for x
   x = 191,933,316/11,766
6. Step 6: Final answer
   x = 16,312.54