Finding the Third Proportional to 9,566 and 12,830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566 : 12,830.25 = 12,830.25 : x
2. Step 2: Convert to fraction form
   9,566/12,830.25 = 12,830.25/x
3. Step 3: Cross multiply
   9,566x = 12,830.25 × 12,830.25
4. Step 4: Simplify right side
   9,566x = 164,615,315.06
5. Step 5: Solve for x
   x = 164,615,315.06/9,566
6. Step 6: Final answer
   x = 17,208.37