Finding the Third Proportional to 10,314 and 16,010

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314 : 16,010 = 16,010 : x
2. Step 2: Convert to fraction form
   10,314/16,010 = 16,010/x
3. Step 3: Cross multiply
   10,314x = 16,010 × 16,010
4. Step 4: Simplify right side
   10,314x = 256,320,100
5. Step 5: Solve for x
   x = 256,320,100/10,314
6. Step 6: Final answer
   x = 24,851.67