Finding the Third Proportional to 6,576 and 17,736

Step by Step Solution

1. Step 1: Write the proportion equation
   6,576 : 17,736 = 17,736 : x
2. Step 2: Convert to fraction form
   6,576/17,736 = 17,736/x
3. Step 3: Cross multiply
   6,576x = 17,736 × 17,736
4. Step 4: Simplify right side
   6,576x = 314,565,696
5. Step 5: Solve for x
   x = 314,565,696/6,576
6. Step 6: Final answer
   x = 47,835.42