Finding the Third Proportional to 10,276 and 16,333

Step by Step Solution

1. Step 1: Write the proportion equation
   10,276 : 16,333 = 16,333 : x
2. Step 2: Convert to fraction form
   10,276/16,333 = 16,333/x
3. Step 3: Cross multiply
   10,276x = 16,333 × 16,333
4. Step 4: Simplify right side
   10,276x = 266,766,889
5. Step 5: Solve for x
   x = 266,766,889/10,276
6. Step 6: Final answer
   x = 25,960.19