Finding the Third Proportional to 16,214 and 34,908

Step by Step Solution

1. Step 1: Write the proportion equation
   16,214 : 34,908 = 34,908 : x
2. Step 2: Convert to fraction form
   16,214/34,908 = 34,908/x
3. Step 3: Cross multiply
   16,214x = 34,908 × 34,908
4. Step 4: Simplify right side
   16,214x = 1,218,568,464
5. Step 5: Solve for x
   x = 1,218,568,464/16,214
6. Step 6: Final answer
   x = 75,155.33