Finding the Third Proportional to 7,658 and 16,162

Step by Step Solution

1. Step 1: Write the proportion equation
   7,658 : 16,162 = 16,162 : x
2. Step 2: Convert to fraction form
   7,658/16,162 = 16,162/x
3. Step 3: Cross multiply
   7,658x = 16,162 × 16,162
4. Step 4: Simplify right side
   7,658x = 261,210,244
5. Step 5: Solve for x
   x = 261,210,244/7,658
6. Step 6: Final answer
   x = 34,109.46