Finding the Third Proportional to 9,880 and 21,406

Step by Step Solution

1. Step 1: Write the proportion equation
   9,880 : 21,406 = 21,406 : x
2. Step 2: Convert to fraction form
   9,880/21,406 = 21,406/x
3. Step 3: Cross multiply
   9,880x = 21,406 × 21,406
4. Step 4: Simplify right side
   9,880x = 458,216,836
5. Step 5: Solve for x
   x = 458,216,836/9,880
6. Step 6: Final answer
   x = 46,378.22