Finding the Third Proportional to 9,296 and 16,390

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296 : 16,390 = 16,390 : x
2. Step 2: Convert to fraction form
   9,296/16,390 = 16,390/x
3. Step 3: Cross multiply
   9,296x = 16,390 × 16,390
4. Step 4: Simplify right side
   9,296x = 268,632,100
5. Step 5: Solve for x
   x = 268,632,100/9,296
6. Step 6: Final answer
   x = 28,897.60