Finding the Third Proportional to 12,596 and 19,574

Step by Step Solution

1. Step 1: Write the proportion equation
   12,596 : 19,574 = 19,574 : x
2. Step 2: Convert to fraction form
   12,596/19,574 = 19,574/x
3. Step 3: Cross multiply
   12,596x = 19,574 × 19,574
4. Step 4: Simplify right side
   12,596x = 383,141,476
5. Step 5: Solve for x
   x = 383,141,476/12,596
6. Step 6: Final answer
   x = 30,417.71