Finding the Third Proportional to 12,540 and 19,434

Step by Step Solution

1. Step 1: Write the proportion equation
   12,540 : 19,434 = 19,434 : x
2. Step 2: Convert to fraction form
   12,540/19,434 = 19,434/x
3. Step 3: Cross multiply
   12,540x = 19,434 × 19,434
4. Step 4: Simplify right side
   12,540x = 377,680,356
5. Step 5: Solve for x
   x = 377,680,356/12,540
6. Step 6: Final answer
   x = 30,118.05