Finding the Third Proportional to 7,684 and 17,994

Step by Step Solution

1. Step 1: Write the proportion equation
   7,684 : 17,994 = 17,994 : x
2. Step 2: Convert to fraction form
   7,684/17,994 = 17,994/x
3. Step 3: Cross multiply
   7,684x = 17,994 × 17,994
4. Step 4: Simplify right side
   7,684x = 323,784,036
5. Step 5: Solve for x
   x = 323,784,036/7,684
6. Step 6: Final answer
   x = 42,137.43