Finding the Third Proportional to 3,380.63 and 4,825.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,380.63 : 4,825.69 = 4,825.69 : x
2. Step 2: Convert to fraction form
   3,380.63/4,825.69 = 4,825.69/x
3. Step 3: Cross multiply
   3,380.63x = 4,825.69 × 4,825.69
4. Step 4: Simplify right side
   3,380.63x = 23,287,259.85
5. Step 5: Solve for x
   x = 23,287,259.85/3,380.63
6. Step 6: Final answer
   x = 6,888.45