Finding the Third Proportional to 16,096 and 34,316

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096 : 34,316 = 34,316 : x
2. Step 2: Convert to fraction form
   16,096/34,316 = 34,316/x
3. Step 3: Cross multiply
   16,096x = 34,316 × 34,316
4. Step 4: Simplify right side
   16,096x = 1,177,587,856
5. Step 5: Solve for x
   x = 1,177,587,856/16,096
6. Step 6: Final answer
   x = 73,160.28