Finding the Third Proportional to 6,686.25 and 10,394.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,686.25 : 10,394.63 = 10,394.63 : x
2. Step 2: Convert to fraction form
   6,686.25/10,394.63 = 10,394.63/x
3. Step 3: Cross multiply
   6,686.25x = 10,394.63 × 10,394.63
4. Step 4: Simplify right side
   6,686.25x = 108,048,228.89
5. Step 5: Solve for x
   x = 108,048,228.89/6,686.25
6. Step 6: Final answer
   x = 16,159.77