Finding the Third Proportional to 16,146 and 34,767

Step by Step Solution

1. Step 1: Write the proportion equation
   16,146 : 34,767 = 34,767 : x
2. Step 2: Convert to fraction form
   16,146/34,767 = 34,767/x
3. Step 3: Cross multiply
   16,146x = 34,767 × 34,767
4. Step 4: Simplify right side
   16,146x = 1,208,744,289
5. Step 5: Solve for x
   x = 1,208,744,289/16,146
6. Step 6: Final answer
   x = 74,863.39