Finding the Third Proportional to 3,114.50 and 4,683.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,114.50 : 4,683.25 = 4,683.25 : x
2. Step 2: Convert to fraction form
   3,114.50/4,683.25 = 4,683.25/x
3. Step 3: Cross multiply
   3,114.50x = 4,683.25 × 4,683.25
4. Step 4: Simplify right side
   3,114.50x = 21,932,830.56
5. Step 5: Solve for x
   x = 21,932,830.56/3,114.50
6. Step 6: Final answer
   x = 7,042.17