Finding the Third Proportional to 10,696 and 18,540

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696 : 18,540 = 18,540 : x
2. Step 2: Convert to fraction form
   10,696/18,540 = 18,540/x
3. Step 3: Cross multiply
   10,696x = 18,540 × 18,540
4. Step 4: Simplify right side
   10,696x = 343,731,600
5. Step 5: Solve for x
   x = 343,731,600/10,696
6. Step 6: Final answer
   x = 32,136.46