Finding the Third Proportional to 10,271.50 and 16,327

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.50 : 16,327 = 16,327 : x
2. Step 2: Convert to fraction form
   10,271.50/16,327 = 16,327/x
3. Step 3: Cross multiply
   10,271.50x = 16,327 × 16,327
4. Step 4: Simplify right side
   10,271.50x = 266,570,929
5. Step 5: Solve for x
   x = 266,570,929/10,271.50
6. Step 6: Final answer
   x = 25,952.48