Finding the Third Proportional to 3,735.75 and 5,382.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,735.75 : 5,382.56 = 5,382.56 : x
2. Step 2: Convert to fraction form
   3,735.75/5,382.56 = 5,382.56/x
3. Step 3: Cross multiply
   3,735.75x = 5,382.56 × 5,382.56
4. Step 4: Simplify right side
   3,735.75x = 28,971,979.07
5. Step 5: Solve for x
   x = 28,971,979.07/3,735.75
6. Step 6: Final answer
   x = 7,755.33