Finding the Third Proportional to 6,699.75 and 10,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,699.75 : 10,223.25 = 10,223.25 : x
2. Step 2: Convert to fraction form
   6,699.75/10,223.25 = 10,223.25/x
3. Step 3: Cross multiply
   6,699.75x = 10,223.25 × 10,223.25
4. Step 4: Simplify right side
   6,699.75x = 104,514,840.56
5. Step 5: Solve for x
   x = 104,514,840.56/6,699.75
6. Step 6: Final answer
   x = 15,599.81