Finding the Third Proportional to 16,078 and 34,279

Step by Step Solution

1. Step 1: Write the proportion equation
   16,078 : 34,279 = 34,279 : x
2. Step 2: Convert to fraction form
   16,078/34,279 = 34,279/x
3. Step 3: Cross multiply
   16,078x = 34,279 × 34,279
4. Step 4: Simplify right side
   16,078x = 1,175,049,841
5. Step 5: Solve for x
   x = 1,175,049,841/16,078
6. Step 6: Final answer
   x = 73,084.33