Finding the Third Proportional to 5,382 and 7,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,382 : 7,404.75 = 7,404.75 : x
2. Step 2: Convert to fraction form
   5,382/7,404.75 = 7,404.75/x
3. Step 3: Cross multiply
   5,382x = 7,404.75 × 7,404.75
4. Step 4: Simplify right side
   5,382x = 54,830,322.56
5. Step 5: Solve for x
   x = 54,830,322.56/5,382
6. Step 6: Final answer
   x = 10,187.72