Finding the Third Proportional to 2,203.88 and 4,665.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,203.88 : 4,665.94 = 4,665.94 : x
2. Step 2: Convert to fraction form
   2,203.88/4,665.94 = 4,665.94/x
3. Step 3: Cross multiply
   2,203.88x = 4,665.94 × 4,665.94
4. Step 4: Simplify right side
   2,203.88x = 21,770,972.75
5. Step 5: Solve for x
   x = 21,770,972.75/2,203.88
6. Step 6: Final answer
   x = 9,878.50