Finding the Third Proportional to 9,568.13 and 13,663.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,568.13 : 13,663.69 = 13,663.69 : x
2. Step 2: Convert to fraction form
   9,568.13/13,663.69 = 13,663.69/x
3. Step 3: Cross multiply
   9,568.13x = 13,663.69 × 13,663.69
4. Step 4: Simplify right side
   9,568.13x = 186,696,356.10
5. Step 5: Solve for x
   x = 186,696,356.10/9,568.13
6. Step 6: Final answer
   x = 19,512.32