Finding the Third Proportional to 17,826 and 27,732

Step by Step Solution

1. Step 1: Write the proportion equation
   17,826 : 27,732 = 27,732 : x
2. Step 2: Convert to fraction form
   17,826/27,732 = 27,732/x
3. Step 3: Cross multiply
   17,826x = 27,732 × 27,732
4. Step 4: Simplify right side
   17,826x = 769,063,824
5. Step 5: Solve for x
   x = 769,063,824/17,826
6. Step 6: Final answer
   x = 43,142.82