Finding the Third Proportional to 10,340 and 16,094

Step by Step Solution

1. Step 1: Write the proportion equation
   10,340 : 16,094 = 16,094 : x
2. Step 2: Convert to fraction form
   10,340/16,094 = 16,094/x
3. Step 3: Cross multiply
   10,340x = 16,094 × 16,094
4. Step 4: Simplify right side
   10,340x = 259,016,836
5. Step 5: Solve for x
   x = 259,016,836/10,340
6. Step 6: Final answer
   x = 25,049.98