Finding the Third Proportional to 11,538 and 16,094

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538 : 16,094 = 16,094 : x
2. Step 2: Convert to fraction form
   11,538/16,094 = 16,094/x
3. Step 3: Cross multiply
   11,538x = 16,094 × 16,094
4. Step 4: Simplify right side
   11,538x = 259,016,836
5. Step 5: Solve for x
   x = 259,016,836/11,538
6. Step 6: Final answer
   x = 22,449.02