Finding the Third Proportional to 6,689.25 and 10,645.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,689.25 : 10,645.88 = 10,645.88 : x
2. Step 2: Convert to fraction form
   6,689.25/10,645.88 = 10,645.88/x
3. Step 3: Cross multiply
   6,689.25x = 10,645.88 × 10,645.88
4. Step 4: Simplify right side
   6,689.25x = 113,334,654.52
5. Step 5: Solve for x
   x = 113,334,654.52/6,689.25
6. Step 6: Final answer
   x = 16,942.80