Finding the Third Proportional to 6,314.25 and 9,471.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,314.25 : 9,471.38 = 9,471.38 : x
2. Step 2: Convert to fraction form
   6,314.25/9,471.38 = 9,471.38/x
3. Step 3: Cross multiply
   6,314.25x = 9,471.38 × 9,471.38
4. Step 4: Simplify right side
   6,314.25x = 89,706,944.39
5. Step 5: Solve for x
   x = 89,706,944.39/6,314.25
6. Step 6: Final answer
   x = 14,207.06