Finding the Third Proportional to 6,436.13 and 10,288.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,436.13 : 10,288.69 = 10,288.69 : x
2. Step 2: Convert to fraction form
   6,436.13/10,288.69 = 10,288.69/x
3. Step 3: Cross multiply
   6,436.13x = 10,288.69 × 10,288.69
4. Step 4: Simplify right side
   6,436.13x = 105,857,090.47
5. Step 5: Solve for x
   x = 105,857,090.47/6,436.13
6. Step 6: Final answer
   x = 16,447.33