Finding the Third Proportional to 10,074 and 19,608

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074 : 19,608 = 19,608 : x
2. Step 2: Convert to fraction form
   10,074/19,608 = 19,608/x
3. Step 3: Cross multiply
   10,074x = 19,608 × 19,608
4. Step 4: Simplify right side
   10,074x = 384,473,664
5. Step 5: Solve for x
   x = 384,473,664/10,074
6. Step 6: Final answer
   x = 38,164.95