Finding the Third Proportional to 9,900 and 21,416

Step by Step Solution

1. Step 1: Write the proportion equation
   9,900 : 21,416 = 21,416 : x
2. Step 2: Convert to fraction form
   9,900/21,416 = 21,416/x
3. Step 3: Cross multiply
   9,900x = 21,416 × 21,416
4. Step 4: Simplify right side
   9,900x = 458,645,056
5. Step 5: Solve for x
   x = 458,645,056/9,900
6. Step 6: Final answer
   x = 46,327.78