Finding the Third Proportional to 6,788.81 and 9,613.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,788.81 : 9,613.69 = 9,613.69 : x
2. Step 2: Convert to fraction form
   6,788.81/9,613.69 = 9,613.69/x
3. Step 3: Cross multiply
   6,788.81x = 9,613.69 × 9,613.69
4. Step 4: Simplify right side
   6,788.81x = 92,422,987.35
5. Step 5: Solve for x
   x = 92,422,987.35/6,788.81
6. Step 6: Final answer
   x = 13,614.01