Finding the Third Proportional to 3,189 and 4,885.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,189 : 4,885.25 = 4,885.25 : x
2. Step 2: Convert to fraction form
   3,189/4,885.25 = 4,885.25/x
3. Step 3: Cross multiply
   3,189x = 4,885.25 × 4,885.25
4. Step 4: Simplify right side
   3,189x = 23,865,667.56
5. Step 5: Solve for x
   x = 23,865,667.56/3,189
6. Step 6: Final answer
   x = 7,483.75