Finding the Third Proportional to 9,566 and 20,290

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566 : 20,290 = 20,290 : x
2. Step 2: Convert to fraction form
   9,566/20,290 = 20,290/x
3. Step 3: Cross multiply
   9,566x = 20,290 × 20,290
4. Step 4: Simplify right side
   9,566x = 411,684,100
5. Step 5: Solve for x
   x = 411,684,100/9,566
6. Step 6: Final answer
   x = 43,036.18