Finding the Third Proportional to 9,794 and 21,352

Step by Step Solution

1. Step 1: Write the proportion equation
   9,794 : 21,352 = 21,352 : x
2. Step 2: Convert to fraction form
   9,794/21,352 = 21,352/x
3. Step 3: Cross multiply
   9,794x = 21,352 × 21,352
4. Step 4: Simplify right side
   9,794x = 455,907,904
5. Step 5: Solve for x
   x = 455,907,904/9,794
6. Step 6: Final answer
   x = 46,549.71