Finding the Third Proportional to 2,470.69 and 5,427.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.69 : 5,427.38 = 5,427.38 : x
2. Step 2: Convert to fraction form
   2,470.69/5,427.38 = 5,427.38/x
3. Step 3: Cross multiply
   2,470.69x = 5,427.38 × 5,427.38
4. Step 4: Simplify right side
   2,470.69x = 29,456,399.39
5. Step 5: Solve for x
   x = 29,456,399.39/2,470.69
6. Step 6: Final answer
   x = 11,922.35