Finding the Third Proportional to 10,464 and 16,442

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464 : 16,442 = 16,442 : x
2. Step 2: Convert to fraction form
   10,464/16,442 = 16,442/x
3. Step 3: Cross multiply
   10,464x = 16,442 × 16,442
4. Step 4: Simplify right side
   10,464x = 270,339,364
5. Step 5: Solve for x
   x = 270,339,364/10,464
6. Step 6: Final answer
   x = 25,835.18