Finding the Third Proportional to 2,460.38 and 5,382.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,460.38 : 5,382.07 = 5,382.07 : x
2. Step 2: Convert to fraction form
   2,460.38/5,382.07 = 5,382.07/x
3. Step 3: Cross multiply
   2,460.38x = 5,382.07 × 5,382.07
4. Step 4: Simplify right side
   2,460.38x = 28,966,680.85
5. Step 5: Solve for x
   x = 28,966,680.85/2,460.38
6. Step 6: Final answer
   x = 11,773.28