Finding the Third Proportional to 16,098 and 34,006

Step by Step Solution

1. Step 1: Write the proportion equation
   16,098 : 34,006 = 34,006 : x
2. Step 2: Convert to fraction form
   16,098/34,006 = 34,006/x
3. Step 3: Cross multiply
   16,098x = 34,006 × 34,006
4. Step 4: Simplify right side
   16,098x = 1,156,408,036
5. Step 5: Solve for x
   x = 1,156,408,036/16,098
6. Step 6: Final answer
   x = 71,835.51