Finding the Third Proportional to 12,538 and 19,410

Step by Step Solution

1. Step 1: Write the proportion equation
   12,538 : 19,410 = 19,410 : x
2. Step 2: Convert to fraction form
   12,538/19,410 = 19,410/x
3. Step 3: Cross multiply
   12,538x = 19,410 × 19,410
4. Step 4: Simplify right side
   12,538x = 376,748,100
5. Step 5: Solve for x
   x = 376,748,100/12,538
6. Step 6: Final answer
   x = 30,048.50