Finding the Third Proportional to 12,596 and 18,510

Step by Step Solution

1. Step 1: Write the proportion equation
   12,596 : 18,510 = 18,510 : x
2. Step 2: Convert to fraction form
   12,596/18,510 = 18,510/x
3. Step 3: Cross multiply
   12,596x = 18,510 × 18,510
4. Step 4: Simplify right side
   12,596x = 342,620,100
5. Step 5: Solve for x
   x = 342,620,100/12,596
6. Step 6: Final answer
   x = 27,200.71