Finding the Third Proportional to 11,557.69 and 13,714.31

Step by Step Solution

1. Step 1: Write the proportion equation
   11,557.69 : 13,714.31 = 13,714.31 : x
2. Step 2: Convert to fraction form
   11,557.69/13,714.31 = 13,714.31/x
3. Step 3: Cross multiply
   11,557.69x = 13,714.31 × 13,714.31
4. Step 4: Simplify right side
   11,557.69x = 188,082,367.35
5. Step 5: Solve for x
   x = 188,082,367.35/11,557.69
6. Step 6: Final answer
   x = 16,273.36