Finding the Third Proportional to 10,617 and 16,062

Step by Step Solution

1. Step 1: Write the proportion equation
   10,617 : 16,062 = 16,062 : x
2. Step 2: Convert to fraction form
   10,617/16,062 = 16,062/x
3. Step 3: Cross multiply
   10,617x = 16,062 × 16,062
4. Step 4: Simplify right side
   10,617x = 257,987,844
5. Step 5: Solve for x
   x = 257,987,844/10,617
6. Step 6: Final answer
   x = 24,299.50