Finding the Third Proportional to 2,046.38 and 4,380.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.38 : 4,380.75 = 4,380.75 : x
2. Step 2: Convert to fraction form
   2,046.38/4,380.75 = 4,380.75/x
3. Step 3: Cross multiply
   2,046.38x = 4,380.75 × 4,380.75
4. Step 4: Simplify right side
   2,046.38x = 19,190,970.56
5. Step 5: Solve for x
   x = 19,190,970.56/2,046.38
6. Step 6: Final answer
   x = 9,378.03