Finding the Third Proportional to 12,834 and 27,582

Step by Step Solution

1. Step 1: Write the proportion equation
   12,834 : 27,582 = 27,582 : x
2. Step 2: Convert to fraction form
   12,834/27,582 = 27,582/x
3. Step 3: Cross multiply
   12,834x = 27,582 × 27,582
4. Step 4: Simplify right side
   12,834x = 760,766,724
5. Step 5: Solve for x
   x = 760,766,724/12,834
6. Step 6: Final answer
   x = 59,277.44