Finding the Third Proportional to 13,182.75 and 17,668.76

Step by Step Solution

1. Step 1: Write the proportion equation
   13,182.75 : 17,668.76 = 17,668.76 : x
2. Step 2: Convert to fraction form
   13,182.75/17,668.76 = 17,668.76/x
3. Step 3: Cross multiply
   13,182.75x = 17,668.76 × 17,668.76
4. Step 4: Simplify right side
   13,182.75x = 312,185,002.64
5. Step 5: Solve for x
   x = 312,185,002.64/13,182.75
6. Step 6: Final answer
   x = 23,681.33