Finding the Third Proportional to 6,811.31 and 10,223.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,811.31 : 10,223.86 = 10,223.86 : x
2. Step 2: Convert to fraction form
   6,811.31/10,223.86 = 10,223.86/x
3. Step 3: Cross multiply
   6,811.31x = 10,223.86 × 10,223.86
4. Step 4: Simplify right side
   6,811.31x = 104,527,300.52
5. Step 5: Solve for x
   x = 104,527,300.52/6,811.31
6. Step 6: Final answer
   x = 15,346.13