Finding the Third Proportional to 2,862 and 4,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,862 : 4,315.50 = 4,315.50 : x
2. Step 2: Convert to fraction form
   2,862/4,315.50 = 4,315.50/x
3. Step 3: Cross multiply
   2,862x = 4,315.50 × 4,315.50
4. Step 4: Simplify right side
   2,862x = 18,623,540.25
5. Step 5: Solve for x
   x = 18,623,540.25/2,862
6. Step 6: Final answer
   x = 6,507.18