Finding the Third Proportional to 9,122 and 19,538

Step by Step Solution

1. Step 1: Write the proportion equation
   9,122 : 19,538 = 19,538 : x
2. Step 2: Convert to fraction form
   9,122/19,538 = 19,538/x
3. Step 3: Cross multiply
   9,122x = 19,538 × 19,538
4. Step 4: Simplify right side
   9,122x = 381,733,444
5. Step 5: Solve for x
   x = 381,733,444/9,122
6. Step 6: Final answer
   x = 41,847.56