Finding the Third Proportional to 9,178 and 20,116

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178 : 20,116 = 20,116 : x
2. Step 2: Convert to fraction form
   9,178/20,116 = 20,116/x
3. Step 3: Cross multiply
   9,178x = 20,116 × 20,116
4. Step 4: Simplify right side
   9,178x = 404,653,456
5. Step 5: Solve for x
   x = 404,653,456/9,178
6. Step 6: Final answer
   x = 44,089.50