Finding the Third Proportional to 6,585.75 and 10,469.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,585.75 : 10,469.25 = 10,469.25 : x
2. Step 2: Convert to fraction form
   6,585.75/10,469.25 = 10,469.25/x
3. Step 3: Cross multiply
   6,585.75x = 10,469.25 × 10,469.25
4. Step 4: Simplify right side
   6,585.75x = 109,605,195.56
5. Step 5: Solve for x
   x = 109,605,195.56/6,585.75
6. Step 6: Final answer
   x = 16,642.78