Finding the Third Proportional to 6,814.13 and 10,261.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814.13 : 10,261.69 = 10,261.69 : x
2. Step 2: Convert to fraction form
   6,814.13/10,261.69 = 10,261.69/x
3. Step 3: Cross multiply
   6,814.13x = 10,261.69 × 10,261.69
4. Step 4: Simplify right side
   6,814.13x = 105,302,230.35
5. Step 5: Solve for x
   x = 105,302,230.35/6,814.13
6. Step 6: Final answer
   x = 15,453.52