Finding the Third Proportional to 9,496 and 16,188

Step by Step Solution

1. Step 1: Write the proportion equation
   9,496 : 16,188 = 16,188 : x
2. Step 2: Convert to fraction form
   9,496/16,188 = 16,188/x
3. Step 3: Cross multiply
   9,496x = 16,188 × 16,188
4. Step 4: Simplify right side
   9,496x = 262,051,344
5. Step 5: Solve for x
   x = 262,051,344/9,496
6. Step 6: Final answer
   x = 27,595.97