Finding the Third Proportional to 9,414 and 19,116

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414 : 19,116 = 19,116 : x
2. Step 2: Convert to fraction form
   9,414/19,116 = 19,116/x
3. Step 3: Cross multiply
   9,414x = 19,116 × 19,116
4. Step 4: Simplify right side
   9,414x = 365,421,456
5. Step 5: Solve for x
   x = 365,421,456/9,414
6. Step 6: Final answer
   x = 38,816.81