Finding the Third Proportional to 10,324 and 17,390

Step by Step Solution

1. Step 1: Write the proportion equation
   10,324 : 17,390 = 17,390 : x
2. Step 2: Convert to fraction form
   10,324/17,390 = 17,390/x
3. Step 3: Cross multiply
   10,324x = 17,390 × 17,390
4. Step 4: Simplify right side
   10,324x = 302,412,100
5. Step 5: Solve for x
   x = 302,412,100/10,324
6. Step 6: Final answer
   x = 29,292.14