Finding the Third Proportional to 10,296 and 16,152

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 16,152 = 16,152 : x
2. Step 2: Convert to fraction form
   10,296/16,152 = 16,152/x
3. Step 3: Cross multiply
   10,296x = 16,152 × 16,152
4. Step 4: Simplify right side
   10,296x = 260,887,104
5. Step 5: Solve for x
   x = 260,887,104/10,296
6. Step 6: Final answer
   x = 25,338.69