Finding the Third Proportional to 7,732 and 17,494

Step by Step Solution

1. Step 1: Write the proportion equation
   7,732 : 17,494 = 17,494 : x
2. Step 2: Convert to fraction form
   7,732/17,494 = 17,494/x
3. Step 3: Cross multiply
   7,732x = 17,494 × 17,494
4. Step 4: Simplify right side
   7,732x = 306,040,036
5. Step 5: Solve for x
   x = 306,040,036/7,732
6. Step 6: Final answer
   x = 39,580.97