Finding the Third Proportional to 3,759.75 and 5,826.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,759.75 : 5,826.94 = 5,826.94 : x
2. Step 2: Convert to fraction form
   3,759.75/5,826.94 = 5,826.94/x
3. Step 3: Cross multiply
   3,759.75x = 5,826.94 × 5,826.94
4. Step 4: Simplify right side
   3,759.75x = 33,953,200.63
5. Step 5: Solve for x
   x = 33,953,200.63/3,759.75
6. Step 6: Final answer
   x = 9,030.71