Finding the Third Proportional to 9,900 and 20,168

Step by Step Solution

1. Step 1: Write the proportion equation
   9,900 : 20,168 = 20,168 : x
2. Step 2: Convert to fraction form
   9,900/20,168 = 20,168/x
3. Step 3: Cross multiply
   9,900x = 20,168 × 20,168
4. Step 4: Simplify right side
   9,900x = 406,748,224
5. Step 5: Solve for x
   x = 406,748,224/9,900
6. Step 6: Final answer
   x = 41,085.68