Finding the Third Proportional to 6,409.13 and 10,636.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,409.13 : 10,636.31 = 10,636.31 : x
2. Step 2: Convert to fraction form
   6,409.13/10,636.31 = 10,636.31/x
3. Step 3: Cross multiply
   6,409.13x = 10,636.31 × 10,636.31
4. Step 4: Simplify right side
   6,409.13x = 113,131,143.60
5. Step 5: Solve for x
   x = 113,131,143.60/6,409.13
6. Step 6: Final answer
   x = 17,651.57