Finding the Third Proportional to 9,566 and 12,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566 : 12,829.50 = 12,829.50 : x
2. Step 2: Convert to fraction form
   9,566/12,829.50 = 12,829.50/x
3. Step 3: Cross multiply
   9,566x = 12,829.50 × 12,829.50
4. Step 4: Simplify right side
   9,566x = 164,596,070.25
5. Step 5: Solve for x
   x = 164,596,070.25/9,566
6. Step 6: Final answer
   x = 17,206.36