Finding the Third Proportional to 3,214.25 and 4,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,214.25 : 4,830.50 = 4,830.50 : x
2. Step 2: Convert to fraction form
   3,214.25/4,830.50 = 4,830.50/x
3. Step 3: Cross multiply
   3,214.25x = 4,830.50 × 4,830.50
4. Step 4: Simplify right side
   3,214.25x = 23,333,730.25
5. Step 5: Solve for x
   x = 23,333,730.25/3,214.25
6. Step 6: Final answer
   x = 7,259.46