Finding the Third Proportional to 12,561 and 19,436

Step by Step Solution

1. Step 1: Write the proportion equation
   12,561 : 19,436 = 19,436 : x
2. Step 2: Convert to fraction form
   12,561/19,436 = 19,436/x
3. Step 3: Cross multiply
   12,561x = 19,436 × 19,436
4. Step 4: Simplify right side
   12,561x = 377,758,096
5. Step 5: Solve for x
   x = 377,758,096/12,561
6. Step 6: Final answer
   x = 30,073.89