Finding the Third Proportional to 15,816 and 34,096

Step by Step Solution

1. Step 1: Write the proportion equation
   15,816 : 34,096 = 34,096 : x
2. Step 2: Convert to fraction form
   15,816/34,096 = 34,096/x
3. Step 3: Cross multiply
   15,816x = 34,096 × 34,096
4. Step 4: Simplify right side
   15,816x = 1,162,537,216
5. Step 5: Solve for x
   x = 1,162,537,216/15,816
6. Step 6: Final answer
   x = 73,503.87