Finding the Third Proportional to 3,114.28 and 4,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,114.28 : 4,684.50 = 4,684.50 : x
2. Step 2: Convert to fraction form
   3,114.28/4,684.50 = 4,684.50/x
3. Step 3: Cross multiply
   3,114.28x = 4,684.50 × 4,684.50
4. Step 4: Simplify right side
   3,114.28x = 21,944,540.25
5. Step 5: Solve for x
   x = 21,944,540.25/3,114.28
6. Step 6: Final answer
   x = 7,046.42