Finding the Third Proportional to 10,314 and 17,604

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314 : 17,604 = 17,604 : x
2. Step 2: Convert to fraction form
   10,314/17,604 = 17,604/x
3. Step 3: Cross multiply
   10,314x = 17,604 × 17,604
4. Step 4: Simplify right side
   10,314x = 309,900,816
5. Step 5: Solve for x
   x = 309,900,816/10,314
6. Step 6: Final answer
   x = 30,046.62