Finding the Third Proportional to 9,120 and 19,644

Step by Step Solution

1. Step 1: Write the proportion equation
   9,120 : 19,644 = 19,644 : x
2. Step 2: Convert to fraction form
   9,120/19,644 = 19,644/x
3. Step 3: Cross multiply
   9,120x = 19,644 × 19,644
4. Step 4: Simplify right side
   9,120x = 385,886,736
5. Step 5: Solve for x
   x = 385,886,736/9,120
6. Step 6: Final answer
   x = 42,312.14