Finding the Third Proportional to 3,500 and 7,162

Step by Step Solution

1. Step 1: Write the proportion equation
   3,500 : 7,162 = 7,162 : x
2. Step 2: Convert to fraction form
   3,500/7,162 = 7,162/x
3. Step 3: Cross multiply
   3,500x = 7,162 × 7,162
4. Step 4: Simplify right side
   3,500x = 51,294,244
5. Step 5: Solve for x
   x = 51,294,244/3,500
6. Step 6: Final answer
   x = 14,655.50