Finding the Third Proportional to 9,697 and 16,664

Step by Step Solution

1. Step 1: Write the proportion equation
   9,697 : 16,664 = 16,664 : x
2. Step 2: Convert to fraction form
   9,697/16,664 = 16,664/x
3. Step 3: Cross multiply
   9,697x = 16,664 × 16,664
4. Step 4: Simplify right side
   9,697x = 277,688,896
5. Step 5: Solve for x
   x = 277,688,896/9,697
6. Step 6: Final answer
   x = 28,636.58