Finding the Third Proportional to 7,832 and 17,732

Step by Step Solution

1. Step 1: Write the proportion equation
   7,832 : 17,732 = 17,732 : x
2. Step 2: Convert to fraction form
   7,832/17,732 = 17,732/x
3. Step 3: Cross multiply
   7,832x = 17,732 × 17,732
4. Step 4: Simplify right side
   7,832x = 314,423,824
5. Step 5: Solve for x
   x = 314,423,824/7,832
6. Step 6: Final answer
   x = 40,146.04