Finding the Third Proportional to 10,606 and 16,188

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606 : 16,188 = 16,188 : x
2. Step 2: Convert to fraction form
   10,606/16,188 = 16,188/x
3. Step 3: Cross multiply
   10,606x = 16,188 × 16,188
4. Step 4: Simplify right side
   10,606x = 262,051,344
5. Step 5: Solve for x
   x = 262,051,344/10,606
6. Step 6: Final answer
   x = 24,707.84