Finding the Third Proportional to 9,568.13 and 13,031.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,568.13 : 13,031.82 = 13,031.82 : x
2. Step 2: Convert to fraction form
   9,568.13/13,031.82 = 13,031.82/x
3. Step 3: Cross multiply
   9,568.13x = 13,031.82 × 13,031.82
4. Step 4: Simplify right side
   9,568.13x = 169,828,442.47
5. Step 5: Solve for x
   x = 169,828,442.47/9,568.13
6. Step 6: Final answer
   x = 17,749.40