Finding the Third Proportional to 17,736 and 27,576

Step by Step Solution

1. Step 1: Write the proportion equation
   17,736 : 27,576 = 27,576 : x
2. Step 2: Convert to fraction form
   17,736/27,576 = 27,576/x
3. Step 3: Cross multiply
   17,736x = 27,576 × 27,576
4. Step 4: Simplify right side
   17,736x = 760,435,776
5. Step 5: Solve for x
   x = 760,435,776/17,736
6. Step 6: Final answer
   x = 42,875.27