Finding the Third Proportional to 10,785.66 and 16,741.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,785.66 : 16,741.69 = 16,741.69 : x
2. Step 2: Convert to fraction form
   10,785.66/16,741.69 = 16,741.69/x
3. Step 3: Cross multiply
   10,785.66x = 16,741.69 × 16,741.69
4. Step 4: Simplify right side
   10,785.66x = 280,284,100.35
5. Step 5: Solve for x
   x = 280,284,100.35/10,785.66
6. Step 6: Final answer
   x = 25,986.75