Finding the Third Proportional to 7,793 and 17,096

Step by Step Solution

1. Step 1: Write the proportion equation
   7,793 : 17,096 = 17,096 : x
2. Step 2: Convert to fraction form
   7,793/17,096 = 17,096/x
3. Step 3: Cross multiply
   7,793x = 17,096 × 17,096
4. Step 4: Simplify right side
   7,793x = 292,273,216
5. Step 5: Solve for x
   x = 292,273,216/7,793
6. Step 6: Final answer
   x = 37,504.58