Finding the Third Proportional to 9,778 and 21,322

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778 : 21,322 = 21,322 : x
2. Step 2: Convert to fraction form
   9,778/21,322 = 21,322/x
3. Step 3: Cross multiply
   9,778x = 21,322 × 21,322
4. Step 4: Simplify right side
   9,778x = 454,627,684
5. Step 5: Solve for x
   x = 454,627,684/9,778
6. Step 6: Final answer
   x = 46,494.96