Finding the Third Proportional to 9,166 and 19,628

Step by Step Solution

1. Step 1: Write the proportion equation
   9,166 : 19,628 = 19,628 : x
2. Step 2: Convert to fraction form
   9,166/19,628 = 19,628/x
3. Step 3: Cross multiply
   9,166x = 19,628 × 19,628
4. Step 4: Simplify right side
   9,166x = 385,258,384
5. Step 5: Solve for x
   x = 385,258,384/9,166
6. Step 6: Final answer
   x = 42,031.24