Finding the Third Proportional to 3,123.56 and 4,671.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,123.56 : 4,671.42 = 4,671.42 : x
2. Step 2: Convert to fraction form
   3,123.56/4,671.42 = 4,671.42/x
3. Step 3: Cross multiply
   3,123.56x = 4,671.42 × 4,671.42
4. Step 4: Simplify right side
   3,123.56x = 21,822,182.33
5. Step 5: Solve for x
   x = 21,822,182.33/3,123.56
6. Step 6: Final answer
   x = 6,986.31