Finding the Third Proportional to 3,123 and 4,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,123 : 4,178.25 = 4,178.25 : x
2. Step 2: Convert to fraction form
   3,123/4,178.25 = 4,178.25/x
3. Step 3: Cross multiply
   3,123x = 4,178.25 × 4,178.25
4. Step 4: Simplify right side
   3,123x = 17,457,773.06
5. Step 5: Solve for x
   x = 17,457,773.06/3,123
6. Step 6: Final answer
   x = 5,590.07