Finding the Third Proportional to 10,640 and 16,334

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640 : 16,334 = 16,334 : x
2. Step 2: Convert to fraction form
   10,640/16,334 = 16,334/x
3. Step 3: Cross multiply
   10,640x = 16,334 × 16,334
4. Step 4: Simplify right side
   10,640x = 266,799,556
5. Step 5: Solve for x
   x = 266,799,556/10,640
6. Step 6: Final answer
   x = 25,075.15