Finding the Third Proportional to 6,740 and 16,094

Step by Step Solution

1. Step 1: Write the proportion equation
   6,740 : 16,094 = 16,094 : x
2. Step 2: Convert to fraction form
   6,740/16,094 = 16,094/x
3. Step 3: Cross multiply
   6,740x = 16,094 × 16,094
4. Step 4: Simplify right side
   6,740x = 259,016,836
5. Step 5: Solve for x
   x = 259,016,836/6,740
6. Step 6: Final answer
   x = 38,429.80