Finding the Third Proportional to 10,346 and 16,059

Step by Step Solution

1. Step 1: Write the proportion equation
   10,346 : 16,059 = 16,059 : x
2. Step 2: Convert to fraction form
   10,346/16,059 = 16,059/x
3. Step 3: Cross multiply
   10,346x = 16,059 × 16,059
4. Step 4: Simplify right side
   10,346x = 257,891,481
5. Step 5: Solve for x
   x = 257,891,481/10,346
6. Step 6: Final answer
   x = 24,926.68