Finding the Third Proportional to 9,569 and 22,322

Step by Step Solution

1. Step 1: Write the proportion equation
   9,569 : 22,322 = 22,322 : x
2. Step 2: Convert to fraction form
   9,569/22,322 = 22,322/x
3. Step 3: Cross multiply
   9,569x = 22,322 × 22,322
4. Step 4: Simplify right side
   9,569x = 498,271,684
5. Step 5: Solve for x
   x = 498,271,684/9,569
6. Step 6: Final answer
   x = 52,071.45