Finding the Third Proportional to 3,214.69 and 5,038.45

Step by Step Solution

1. Step 1: Write the proportion equation
   3,214.69 : 5,038.45 = 5,038.45 : x
2. Step 2: Convert to fraction form
   3,214.69/5,038.45 = 5,038.45/x
3. Step 3: Cross multiply
   3,214.69x = 5,038.45 × 5,038.45
4. Step 4: Simplify right side
   3,214.69x = 25,386,009.89
5. Step 5: Solve for x
   x = 25,386,009.89/3,214.69
6. Step 6: Final answer
   x = 7,896.88