Finding the Third Proportional to 8,214 and 17,604

Step by Step Solution

1. Step 1: Write the proportion equation
   8,214 : 17,604 = 17,604 : x
2. Step 2: Convert to fraction form
   8,214/17,604 = 17,604/x
3. Step 3: Cross multiply
   8,214x = 17,604 × 17,604
4. Step 4: Simplify right side
   8,214x = 309,900,816
5. Step 5: Solve for x
   x = 309,900,816/8,214
6. Step 6: Final answer
   x = 37,728.37