Finding the Third Proportional to 6,588 and 10,162

Step by Step Solution

1. Step 1: Write the proportion equation
   6,588 : 10,162 = 10,162 : x
2. Step 2: Convert to fraction form
   6,588/10,162 = 10,162/x
3. Step 3: Cross multiply
   6,588x = 10,162 × 10,162
4. Step 4: Simplify right side
   6,588x = 103,266,244
5. Step 5: Solve for x
   x = 103,266,244/6,588
6. Step 6: Final answer
   x = 15,674.90