Finding the Third Proportional to 12,574 and 19,507

Step by Step Solution

1. Step 1: Write the proportion equation
   12,574 : 19,507 = 19,507 : x
2. Step 2: Convert to fraction form
   12,574/19,507 = 19,507/x
3. Step 3: Cross multiply
   12,574x = 19,507 × 19,507
4. Step 4: Simplify right side
   12,574x = 380,523,049
5. Step 5: Solve for x
   x = 380,523,049/12,574
6. Step 6: Final answer
   x = 30,262.69